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Finding the Fourth Proportional to 138.15, 206.22 and 119.01

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Solution

The fourth proportional to 138.15, 206.22 and 119.01 is: 177.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.15 : 206.22 = 119.01 : x
  2. Step 2: Convert to fraction form
    138.15/206.22 = 119.01/x
  3. Step 3: Cross multiply
    138.15x = 206.22 × 119.01
  4. Step 4: Simplify right side
    138.15x = 24,543.46
  5. Step 5: Solve for x
    x = 24,543.46/138.15
  6. Step 6: Final answer
    x = 177.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.