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Finding the Fourth Proportional to 261.33, 391.82 and 98.88

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Solution

The fourth proportional to 261.33, 391.82 and 98.88 is: 148.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.33 : 391.82 = 98.88 : x
  2. Step 2: Convert to fraction form
    261.33/391.82 = 98.88/x
  3. Step 3: Cross multiply
    261.33x = 391.82 × 98.88
  4. Step 4: Simplify right side
    261.33x = 38,740.71
  5. Step 5: Solve for x
    x = 38,740.71/261.33
  6. Step 6: Final answer
    x = 148.24

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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.