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Finding the Fourth Proportional to 266.01, 398.30 and 137.49

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Solution

The fourth proportional to 266.01, 398.30 and 137.49 is: 205.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.01 : 398.30 = 137.49 : x
  2. Step 2: Convert to fraction form
    266.01/398.30 = 137.49/x
  3. Step 3: Cross multiply
    266.01x = 398.30 × 137.49
  4. Step 4: Simplify right side
    266.01x = 54,762.92
  5. Step 5: Solve for x
    x = 54,762.92/266.01
  6. Step 6: Final answer
    x = 205.87

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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.