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Finding the Fourth Proportional to 266.97, 400.60 and 145.24

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Solution

The fourth proportional to 266.97, 400.60 and 145.24 is: 217.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.97 : 400.60 = 145.24 : x
  2. Step 2: Convert to fraction form
    266.97/400.60 = 145.24/x
  3. Step 3: Cross multiply
    266.97x = 400.60 × 145.24
  4. Step 4: Simplify right side
    266.97x = 58,184.19
  5. Step 5: Solve for x
    x = 58,184.19/266.97
  6. Step 6: Final answer
    x = 217.94

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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.