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Finding the Fourth Proportional to 252.95, 378.89 and 116.10

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Solution

The fourth proportional to 252.95, 378.89 and 116.10 is: 173.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.95 : 378.89 = 116.10 : x
  2. Step 2: Convert to fraction form
    252.95/378.89 = 116.10/x
  3. Step 3: Cross multiply
    252.95x = 378.89 × 116.10
  4. Step 4: Simplify right side
    252.95x = 43,989.97
  5. Step 5: Solve for x
    x = 43,989.97/252.95
  6. Step 6: Final answer
    x = 173.91

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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.