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Finding the Fourth Proportional to 506.17, 759.38 and 140.96

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Solution

The fourth proportional to 506.17, 759.38 and 140.96 is: 211.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.17 : 759.38 = 140.96 : x
  2. Step 2: Convert to fraction form
    506.17/759.38 = 140.96/x
  3. Step 3: Cross multiply
    506.17x = 759.38 × 140.96
  4. Step 4: Simplify right side
    506.17x = 107,042.07
  5. Step 5: Solve for x
    x = 107,042.07/506.17
  6. Step 6: Final answer
    x = 211.47

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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.