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Finding the Fourth Proportional to 506.52, 759.76 and 177.54

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Solution

The fourth proportional to 506.52, 759.76 and 177.54 is: 266.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.52 : 759.76 = 177.54 : x
  2. Step 2: Convert to fraction form
    506.52/759.76 = 177.54/x
  3. Step 3: Cross multiply
    506.52x = 759.76 × 177.54
  4. Step 4: Simplify right side
    506.52x = 134,884.50
  5. Step 5: Solve for x
    x = 134,884.50/506.52
  6. Step 6: Final answer
    x = 266.30

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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.