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Finding the Fourth Proportional to 265.75, 398.62 and 83.14

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Solution

The fourth proportional to 265.75, 398.62 and 83.14 is: 124.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.75 : 398.62 = 83.14 : x
  2. Step 2: Convert to fraction form
    265.75/398.62 = 83.14/x
  3. Step 3: Cross multiply
    265.75x = 398.62 × 83.14
  4. Step 4: Simplify right side
    265.75x = 33,139.27
  5. Step 5: Solve for x
    x = 33,139.27/265.75
  6. Step 6: Final answer
    x = 124.70

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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.