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Finding the Fourth Proportional to 270.24, 405.38 and 116.16

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Solution

The fourth proportional to 270.24, 405.38 and 116.16 is: 174.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.24 : 405.38 = 116.16 : x
  2. Step 2: Convert to fraction form
    270.24/405.38 = 116.16/x
  3. Step 3: Cross multiply
    270.24x = 405.38 × 116.16
  4. Step 4: Simplify right side
    270.24x = 47,088.52
  5. Step 5: Solve for x
    x = 47,088.52/270.24
  6. Step 6: Final answer
    x = 174.25

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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.