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Finding the Fourth Proportional to 514.54, 772.20 and 190.12

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Solution

The fourth proportional to 514.54, 772.20 and 190.12 is: 285.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.54 : 772.20 = 190.12 : x
  2. Step 2: Convert to fraction form
    514.54/772.20 = 190.12/x
  3. Step 3: Cross multiply
    514.54x = 772.20 × 190.12
  4. Step 4: Simplify right side
    514.54x = 146,810.66
  5. Step 5: Solve for x
    x = 146,810.66/514.54
  6. Step 6: Final answer
    x = 285.32

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Double scale
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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.