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Finding the Fourth Proportional to 207.42, 286.17 and 124.50

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Solution

The fourth proportional to 207.42, 286.17 and 124.50 is: 171.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.42 : 286.17 = 124.50 : x
  2. Step 2: Convert to fraction form
    207.42/286.17 = 124.50/x
  3. Step 3: Cross multiply
    207.42x = 286.17 × 124.50
  4. Step 4: Simplify right side
    207.42x = 35,628.17
  5. Step 5: Solve for x
    x = 35,628.17/207.42
  6. Step 6: Final answer
    x = 171.77

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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.