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Finding the Fourth Proportional to 266.12, 367.20 and 149.68

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Solution

The fourth proportional to 266.12, 367.20 and 149.68 is: 206.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.12 : 367.20 = 149.68 : x
  2. Step 2: Convert to fraction form
    266.12/367.20 = 149.68/x
  3. Step 3: Cross multiply
    266.12x = 367.20 × 149.68
  4. Step 4: Simplify right side
    266.12x = 54,962.50
  5. Step 5: Solve for x
    x = 54,962.50/266.12
  6. Step 6: Final answer
    x = 206.53

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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.