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Finding the Fourth Proportional to 207.80, 286.56 and 124.92

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Solution

The fourth proportional to 207.80, 286.56 and 124.92 is: 172.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.80 : 286.56 = 124.92 : x
  2. Step 2: Convert to fraction form
    207.80/286.56 = 124.92/x
  3. Step 3: Cross multiply
    207.80x = 286.56 × 124.92
  4. Step 4: Simplify right side
    207.80x = 35,797.08
  5. Step 5: Solve for x
    x = 35,797.08/207.80
  6. Step 6: Final answer
    x = 172.27

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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.