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Finding the Fourth Proportional to 266.62, 400.05 and 144.74

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Solution

The fourth proportional to 266.62, 400.05 and 144.74 is: 217.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.62 : 400.05 = 144.74 : x
  2. Step 2: Convert to fraction form
    266.62/400.05 = 144.74/x
  3. Step 3: Cross multiply
    266.62x = 400.05 × 144.74
  4. Step 4: Simplify right side
    266.62x = 57,903.24
  5. Step 5: Solve for x
    x = 57,903.24/266.62
  6. Step 6: Final answer
    x = 217.18

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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.