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Finding the Fourth Proportional to 266.08, 367.18 and 149.62

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Solution

The fourth proportional to 266.08, 367.18 and 149.62 is: 206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.08 : 367.18 = 149.62 : x
  2. Step 2: Convert to fraction form
    266.08/367.18 = 149.62/x
  3. Step 3: Cross multiply
    266.08x = 367.18 × 149.62
  4. Step 4: Simplify right side
    266.08x = 54,937.47
  5. Step 5: Solve for x
    x = 54,937.47/266.08
  6. Step 6: Final answer
    x = 206.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.