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Finding the Fourth Proportional to 207.50, 286.46 and 133.88

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Solution

The fourth proportional to 207.50, 286.46 and 133.88 is: 184.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.50 : 286.46 = 133.88 : x
  2. Step 2: Convert to fraction form
    207.50/286.46 = 133.88/x
  3. Step 3: Cross multiply
    207.50x = 286.46 × 133.88
  4. Step 4: Simplify right side
    207.50x = 38,351.26
  5. Step 5: Solve for x
    x = 38,351.26/207.50
  6. Step 6: Final answer
    x = 184.83

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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.