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Finding the Fourth Proportional to 265.92, 398.82 and 151.92

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Solution

The fourth proportional to 265.92, 398.82 and 151.92 is: 227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.92 : 398.82 = 151.92 : x
  2. Step 2: Convert to fraction form
    265.92/398.82 = 151.92/x
  3. Step 3: Cross multiply
    265.92x = 398.82 × 151.92
  4. Step 4: Simplify right side
    265.92x = 60,588.73
  5. Step 5: Solve for x
    x = 60,588.73/265.92
  6. Step 6: Final answer
    x = 227.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.