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Finding the Fourth Proportional to 252.92, 378.66 and 156.44

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Solution

The fourth proportional to 252.92, 378.66 and 156.44 is: 234.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.92 : 378.66 = 156.44 : x
  2. Step 2: Convert to fraction form
    252.92/378.66 = 156.44/x
  3. Step 3: Cross multiply
    252.92x = 378.66 × 156.44
  4. Step 4: Simplify right side
    252.92x = 59,237.57
  5. Step 5: Solve for x
    x = 59,237.57/252.92
  6. Step 6: Final answer
    x = 234.21

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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.