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Finding the Fourth Proportional to 252.97, 378.57 and 150.32

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Solution

The fourth proportional to 252.97, 378.57 and 150.32 is: 224.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.97 : 378.57 = 150.32 : x
  2. Step 2: Convert to fraction form
    252.97/378.57 = 150.32/x
  3. Step 3: Cross multiply
    252.97x = 378.57 × 150.32
  4. Step 4: Simplify right side
    252.97x = 56,906.64
  5. Step 5: Solve for x
    x = 56,906.64/252.97
  6. Step 6: Final answer
    x = 224.95

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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.