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Finding the Fourth Proportional to 138.53, 208.97 and 131.15

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Solution

The fourth proportional to 138.53, 208.97 and 131.15 is: 197.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.53 : 208.97 = 131.15 : x
  2. Step 2: Convert to fraction form
    138.53/208.97 = 131.15/x
  3. Step 3: Cross multiply
    138.53x = 208.97 × 131.15
  4. Step 4: Simplify right side
    138.53x = 27,406.42
  5. Step 5: Solve for x
    x = 27,406.42/138.53
  6. Step 6: Final answer
    x = 197.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.