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Finding the Fourth Proportional to 484.92, 727.52 and 160.38

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Solution

The fourth proportional to 484.92, 727.52 and 160.38 is: 240.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.92 : 727.52 = 160.38 : x
  2. Step 2: Convert to fraction form
    484.92/727.52 = 160.38/x
  3. Step 3: Cross multiply
    484.92x = 727.52 × 160.38
  4. Step 4: Simplify right side
    484.92x = 116,678.86
  5. Step 5: Solve for x
    x = 116,678.86/484.92
  6. Step 6: Final answer
    x = 240.61

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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.