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Finding the Fourth Proportional to 252.57, 378.92 and 98.51

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Solution

The fourth proportional to 252.57, 378.92 and 98.51 is: 147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.57 : 378.92 = 98.51 : x
  2. Step 2: Convert to fraction form
    252.57/378.92 = 98.51/x
  3. Step 3: Cross multiply
    252.57x = 378.92 × 98.51
  4. Step 4: Simplify right side
    252.57x = 37,325.02
  5. Step 5: Solve for x
    x = 37,325.02/252.57
  6. Step 6: Final answer
    x = 147.78

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Why These Related Problems?

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