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Finding the Fourth Proportional to 265.38, 398.10 and 82.76

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Solution

The fourth proportional to 265.38, 398.10 and 82.76 is: 124.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.38 : 398.10 = 82.76 : x
  2. Step 2: Convert to fraction form
    265.38/398.10 = 82.76/x
  3. Step 3: Cross multiply
    265.38x = 398.10 × 82.76
  4. Step 4: Simplify right side
    265.38x = 32,946.76
  5. Step 5: Solve for x
    x = 32,946.76/265.38
  6. Step 6: Final answer
    x = 124.15

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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.