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Finding the Fourth Proportional to 506.12, 759.26 and 177.15

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Solution

The fourth proportional to 506.12, 759.26 and 177.15 is: 265.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.12 : 759.26 = 177.15 : x
  2. Step 2: Convert to fraction form
    506.12/759.26 = 177.15/x
  3. Step 3: Cross multiply
    506.12x = 759.26 × 177.15
  4. Step 4: Simplify right side
    506.12x = 134,505.47
  5. Step 5: Solve for x
    x = 134,505.47/506.12
  6. Step 6: Final answer
    x = 265.76

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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.