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Finding the Fourth Proportional to 266.08, 399.24 and 205.74

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Solution

The fourth proportional to 266.08, 399.24 and 205.74 is: 308.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.08 : 399.24 = 205.74 : x
  2. Step 2: Convert to fraction form
    266.08/399.24 = 205.74/x
  3. Step 3: Cross multiply
    266.08x = 399.24 × 205.74
  4. Step 4: Simplify right side
    266.08x = 82,136.61
  5. Step 5: Solve for x
    x = 82,136.61/266.08
  6. Step 6: Final answer
    x = 308.69

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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.