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Finding the Fourth Proportional to 261.09, 391.48 and 98.60

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Solution

The fourth proportional to 261.09, 391.48 and 98.60 is: 147.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.09 : 391.48 = 98.60 : x
  2. Step 2: Convert to fraction form
    261.09/391.48 = 98.60/x
  3. Step 3: Cross multiply
    261.09x = 391.48 × 98.60
  4. Step 4: Simplify right side
    261.09x = 38,597.48
  5. Step 5: Solve for x
    x = 38,597.48/261.09
  6. Step 6: Final answer
    x = 147.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.