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Finding the Fourth Proportional to 252.13, 379.92 and 207.48

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Solution

The fourth proportional to 252.13, 379.92 and 207.48 is: 312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.13 : 379.92 = 207.48 : x
  2. Step 2: Convert to fraction form
    252.13/379.92 = 207.48/x
  3. Step 3: Cross multiply
    252.13x = 379.92 × 207.48
  4. Step 4: Simplify right side
    252.13x = 78,825.80
  5. Step 5: Solve for x
    x = 78,825.80/252.13
  6. Step 6: Final answer
    x = 312.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.