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Finding the Fourth Proportional to 266.87, 400.40 and 120.61

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Solution

The fourth proportional to 266.87, 400.40 and 120.61 is: 180.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.87 : 400.40 = 120.61 : x
  2. Step 2: Convert to fraction form
    266.87/400.40 = 120.61/x
  3. Step 3: Cross multiply
    266.87x = 400.40 × 120.61
  4. Step 4: Simplify right side
    266.87x = 48,291.64
  5. Step 5: Solve for x
    x = 48,291.64/266.87
  6. Step 6: Final answer
    x = 180.96

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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.