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Finding the Fourth Proportional to 266.96, 400.49 and 104.65

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Solution

The fourth proportional to 266.96, 400.49 and 104.65 is: 156.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.96 : 400.49 = 104.65 : x
  2. Step 2: Convert to fraction form
    266.96/400.49 = 104.65/x
  3. Step 3: Cross multiply
    266.96x = 400.49 × 104.65
  4. Step 4: Simplify right side
    266.96x = 41,911.28
  5. Step 5: Solve for x
    x = 41,911.28/266.96
  6. Step 6: Final answer
    x = 156.99

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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.