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Finding the Fourth Proportional to 266.84, 400.24 and 238.04

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Solution

The fourth proportional to 266.84, 400.24 and 238.04 is: 357.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.84 : 400.24 = 238.04 : x
  2. Step 2: Convert to fraction form
    266.84/400.24 = 238.04/x
  3. Step 3: Cross multiply
    266.84x = 400.24 × 238.04
  4. Step 4: Simplify right side
    266.84x = 95,273.13
  5. Step 5: Solve for x
    x = 95,273.13/266.84
  6. Step 6: Final answer
    x = 357.04

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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.