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Finding the Fourth Proportional to 261.13, 391.88 and 116.86

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Solution

The fourth proportional to 261.13, 391.88 and 116.86 is: 175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.13 : 391.88 = 116.86 : x
  2. Step 2: Convert to fraction form
    261.13/391.88 = 116.86/x
  3. Step 3: Cross multiply
    261.13x = 391.88 × 116.86
  4. Step 4: Simplify right side
    261.13x = 45,793.53
  5. Step 5: Solve for x
    x = 45,793.53/261.13
  6. Step 6: Final answer
    x = 175.37

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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.