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Finding the Fourth Proportional to 252.88, 379.42 and 98.78

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Solution

The fourth proportional to 252.88, 379.42 and 98.78 is: 148.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.88 : 379.42 = 98.78 : x
  2. Step 2: Convert to fraction form
    252.88/379.42 = 98.78/x
  3. Step 3: Cross multiply
    252.88x = 379.42 × 98.78
  4. Step 4: Simplify right side
    252.88x = 37,479.11
  5. Step 5: Solve for x
    x = 37,479.11/252.88
  6. Step 6: Final answer
    x = 148.21

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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.