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Finding the Fourth Proportional to 265.40, 398.14 and 82.76

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Solution

The fourth proportional to 265.40, 398.14 and 82.76 is: 124.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.40 : 398.14 = 82.76 : x
  2. Step 2: Convert to fraction form
    265.40/398.14 = 82.76/x
  3. Step 3: Cross multiply
    265.40x = 398.14 × 82.76
  4. Step 4: Simplify right side
    265.40x = 32,950.07
  5. Step 5: Solve for x
    x = 32,950.07/265.40
  6. Step 6: Final answer
    x = 124.15

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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.