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Finding the Fourth Proportional to 252.06, 379.81 and 207.41

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Solution

The fourth proportional to 252.06, 379.81 and 207.41 is: 312.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.06 : 379.81 = 207.41 : x
  2. Step 2: Convert to fraction form
    252.06/379.81 = 207.41/x
  3. Step 3: Cross multiply
    252.06x = 379.81 × 207.41
  4. Step 4: Simplify right side
    252.06x = 78,775.72
  5. Step 5: Solve for x
    x = 78,775.72/252.06
  6. Step 6: Final answer
    x = 312.53

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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.