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Finding the Fourth Proportional to 138.67, 207.04 and 130.48

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Solution

The fourth proportional to 138.67, 207.04 and 130.48 is: 194.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.67 : 207.04 = 130.48 : x
  2. Step 2: Convert to fraction form
    138.67/207.04 = 130.48/x
  3. Step 3: Cross multiply
    138.67x = 207.04 × 130.48
  4. Step 4: Simplify right side
    138.67x = 27,014.58
  5. Step 5: Solve for x
    x = 27,014.58/138.67
  6. Step 6: Final answer
    x = 194.81

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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.