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Finding the Fourth Proportional to 266.07, 398.87 and 249.94

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Solution

The fourth proportional to 266.07, 398.87 and 249.94 is: 374.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.07 : 398.87 = 249.94 : x
  2. Step 2: Convert to fraction form
    266.07/398.87 = 249.94/x
  3. Step 3: Cross multiply
    266.07x = 398.87 × 249.94
  4. Step 4: Simplify right side
    266.07x = 99,693.57
  5. Step 5: Solve for x
    x = 99,693.57/266.07
  6. Step 6: Final answer
    x = 374.69

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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.