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Finding the Fourth Proportional to 506.10, 759.16 and 159.42

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Solution

The fourth proportional to 506.10, 759.16 and 159.42 is: 239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.10 : 759.16 = 159.42 : x
  2. Step 2: Convert to fraction form
    506.10/759.16 = 159.42/x
  3. Step 3: Cross multiply
    506.10x = 759.16 × 159.42
  4. Step 4: Simplify right side
    506.10x = 121,025.29
  5. Step 5: Solve for x
    x = 121,025.29/506.10
  6. Step 6: Final answer
    x = 239.13

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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.