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Finding the Fourth Proportional to 265.14, 398.52 and 232.74

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Solution

The fourth proportional to 265.14, 398.52 and 232.74 is: 349.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.14 : 398.52 = 232.74 : x
  2. Step 2: Convert to fraction form
    265.14/398.52 = 232.74/x
  3. Step 3: Cross multiply
    265.14x = 398.52 × 232.74
  4. Step 4: Simplify right side
    265.14x = 92,751.54
  5. Step 5: Solve for x
    x = 92,751.54/265.14
  6. Step 6: Final answer
    x = 349.82

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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.