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Finding the Fourth Proportional to 265.53, 398.34 and 82.94

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Solution

The fourth proportional to 265.53, 398.34 and 82.94 is: 124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.53 : 398.34 = 82.94 : x
  2. Step 2: Convert to fraction form
    265.53/398.34 = 82.94/x
  3. Step 3: Cross multiply
    265.53x = 398.34 × 82.94
  4. Step 4: Simplify right side
    265.53x = 33,036.91
  5. Step 5: Solve for x
    x = 33,036.91/265.53
  6. Step 6: Final answer
    x = 124.42

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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.