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Finding the Fourth Proportional to 138.54, 207.78 and 118.20

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Solution

The fourth proportional to 138.54, 207.78 and 118.20 is: 177.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.54 : 207.78 = 118.20 : x
  2. Step 2: Convert to fraction form
    138.54/207.78 = 118.20/x
  3. Step 3: Cross multiply
    138.54x = 207.78 × 118.20
  4. Step 4: Simplify right side
    138.54x = 24,559.60
  5. Step 5: Solve for x
    x = 24,559.60/138.54
  6. Step 6: Final answer
    x = 177.27

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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.