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Finding the Fourth Proportional to 522.24, 783.36 and 180.16

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Solution

The fourth proportional to 522.24, 783.36 and 180.16 is: 270.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.24 : 783.36 = 180.16 : x
  2. Step 2: Convert to fraction form
    522.24/783.36 = 180.16/x
  3. Step 3: Cross multiply
    522.24x = 783.36 × 180.16
  4. Step 4: Simplify right side
    522.24x = 141,130.14
  5. Step 5: Solve for x
    x = 141,130.14/522.24
  6. Step 6: Final answer
    x = 270.24

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.