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Finding the Fourth Proportional to 506.86, 760.24 and 177.72

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Solution

The fourth proportional to 506.86, 760.24 and 177.72 is: 266.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.86 : 760.24 = 177.72 : x
  2. Step 2: Convert to fraction form
    506.86/760.24 = 177.72/x
  3. Step 3: Cross multiply
    506.86x = 760.24 × 177.72
  4. Step 4: Simplify right side
    506.86x = 135,109.85
  5. Step 5: Solve for x
    x = 135,109.85/506.86
  6. Step 6: Final answer
    x = 266.56

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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.