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Finding the Fourth Proportional to 266.18, 399.03 and 137.54

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Solution

The fourth proportional to 266.18, 399.03 and 137.54 is: 206.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.18 : 399.03 = 137.54 : x
  2. Step 2: Convert to fraction form
    266.18/399.03 = 137.54/x
  3. Step 3: Cross multiply
    266.18x = 399.03 × 137.54
  4. Step 4: Simplify right side
    266.18x = 54,882.59
  5. Step 5: Solve for x
    x = 54,882.59/266.18
  6. Step 6: Final answer
    x = 206.19

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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.