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Finding the Fourth Proportional to 261.05, 391.56 and 98.72

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Solution

The fourth proportional to 261.05, 391.56 and 98.72 is: 148.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.05 : 391.56 = 98.72 : x
  2. Step 2: Convert to fraction form
    261.05/391.56 = 98.72/x
  3. Step 3: Cross multiply
    261.05x = 391.56 × 98.72
  4. Step 4: Simplify right side
    261.05x = 38,654.22
  5. Step 5: Solve for x
    x = 38,654.22/261.05
  6. Step 6: Final answer
    x = 148.07

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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.