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Finding the Fourth Proportional to 252.34, 378.10 and 206.71

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Solution

The fourth proportional to 252.34, 378.10 and 206.71 is: 309.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.34 : 378.10 = 206.71 : x
  2. Step 2: Convert to fraction form
    252.34/378.10 = 206.71/x
  3. Step 3: Cross multiply
    252.34x = 378.10 × 206.71
  4. Step 4: Simplify right side
    252.34x = 78,154.13
  5. Step 5: Solve for x
    x = 78,154.13/252.34
  6. Step 6: Final answer
    x = 309.72

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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.