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Finding the Fourth Proportional to 207.50, 286.33 and 124.61

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Solution

The fourth proportional to 207.50, 286.33 and 124.61 is: 171.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.50 : 286.33 = 124.61 : x
  2. Step 2: Convert to fraction form
    207.50/286.33 = 124.61/x
  3. Step 3: Cross multiply
    207.50x = 286.33 × 124.61
  4. Step 4: Simplify right side
    207.50x = 35,679.58
  5. Step 5: Solve for x
    x = 35,679.58/207.50
  6. Step 6: Final answer
    x = 171.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.