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Finding the Fourth Proportional to 207.78, 286.68 and 134.13

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Solution

The fourth proportional to 207.78, 286.68 and 134.13 is: 185.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.78 : 286.68 = 134.13 : x
  2. Step 2: Convert to fraction form
    207.78/286.68 = 134.13/x
  3. Step 3: Cross multiply
    207.78x = 286.68 × 134.13
  4. Step 4: Simplify right side
    207.78x = 38,452.39
  5. Step 5: Solve for x
    x = 38,452.39/207.78
  6. Step 6: Final answer
    x = 185.06

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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.