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Finding the Fourth Proportional to 261.03, 391.38 and 98.62

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Solution

The fourth proportional to 261.03, 391.38 and 98.62 is: 147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.03 : 391.38 = 98.62 : x
  2. Step 2: Convert to fraction form
    261.03/391.38 = 98.62/x
  3. Step 3: Cross multiply
    261.03x = 391.38 × 98.62
  4. Step 4: Simplify right side
    261.03x = 38,597.90
  5. Step 5: Solve for x
    x = 38,597.90/261.03
  6. Step 6: Final answer
    x = 147.87

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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.