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Finding the Fourth Proportional to 252.34, 378.32 and 142.65

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Solution

The fourth proportional to 252.34, 378.32 and 142.65 is: 213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.34 : 378.32 = 142.65 : x
  2. Step 2: Convert to fraction form
    252.34/378.32 = 142.65/x
  3. Step 3: Cross multiply
    252.34x = 378.32 × 142.65
  4. Step 4: Simplify right side
    252.34x = 53,967.35
  5. Step 5: Solve for x
    x = 53,967.35/252.34
  6. Step 6: Final answer
    x = 213.87

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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.