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Finding the Fourth Proportional to 252.47, 378.57 and 98.27

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Solution

The fourth proportional to 252.47, 378.57 and 98.27 is: 147.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.47 : 378.57 = 98.27 : x
  2. Step 2: Convert to fraction form
    252.47/378.57 = 98.27/x
  3. Step 3: Cross multiply
    252.47x = 378.57 × 98.27
  4. Step 4: Simplify right side
    252.47x = 37,203.02
  5. Step 5: Solve for x
    x = 37,203.02/252.47
  6. Step 6: Final answer
    x = 147.36

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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.