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Finding the Fourth Proportional to 138.85, 208.31 and 117.38

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Solution

The fourth proportional to 138.85, 208.31 and 117.38 is: 176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.85 : 208.31 = 117.38 : x
  2. Step 2: Convert to fraction form
    138.85/208.31 = 117.38/x
  3. Step 3: Cross multiply
    138.85x = 208.31 × 117.38
  4. Step 4: Simplify right side
    138.85x = 24,451.36
  5. Step 5: Solve for x
    x = 24,451.36/138.85
  6. Step 6: Final answer
    x = 176.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.