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Finding the Fourth Proportional to 252.67, 379.02 and 98.53

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Solution

The fourth proportional to 252.67, 379.02 and 98.53 is: 147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.67 : 379.02 = 98.53 : x
  2. Step 2: Convert to fraction form
    252.67/379.02 = 98.53/x
  3. Step 3: Cross multiply
    252.67x = 379.02 × 98.53
  4. Step 4: Simplify right side
    252.67x = 37,344.84
  5. Step 5: Solve for x
    x = 37,344.84/252.67
  6. Step 6: Final answer
    x = 147.80

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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.