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Finding the Fourth Proportional to 261.92, 393.09 and 140.27

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Solution

The fourth proportional to 261.92, 393.09 and 140.27 is: 210.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.92 : 393.09 = 140.27 : x
  2. Step 2: Convert to fraction form
    261.92/393.09 = 140.27/x
  3. Step 3: Cross multiply
    261.92x = 393.09 × 140.27
  4. Step 4: Simplify right side
    261.92x = 55,138.73
  5. Step 5: Solve for x
    x = 55,138.73/261.92
  6. Step 6: Final answer
    x = 210.52

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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.