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Finding the Fourth Proportional to 252.53, 378.67 and 106.25

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Solution

The fourth proportional to 252.53, 378.67 and 106.25 is: 159.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.53 : 378.67 = 106.25 : x
  2. Step 2: Convert to fraction form
    252.53/378.67 = 106.25/x
  3. Step 3: Cross multiply
    252.53x = 378.67 × 106.25
  4. Step 4: Simplify right side
    252.53x = 40,233.69
  5. Step 5: Solve for x
    x = 40,233.69/252.53
  6. Step 6: Final answer
    x = 159.32

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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.