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Finding the Fourth Proportional to 138.58, 208 and 133.18

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Solution

The fourth proportional to 138.58, 208 and 133.18 is: 199.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.58 : 208 = 133.18 : x
  2. Step 2: Convert to fraction form
    138.58/208 = 133.18/x
  3. Step 3: Cross multiply
    138.58x = 208 × 133.18
  4. Step 4: Simplify right side
    138.58x = 27,701.44
  5. Step 5: Solve for x
    x = 27,701.44/138.58
  6. Step 6: Final answer
    x = 199.89

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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.