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Finding the Fourth Proportional to 266.57, 367.91 and 150.14

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Solution

The fourth proportional to 266.57, 367.91 and 150.14 is: 207.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.57 : 367.91 = 150.14 : x
  2. Step 2: Convert to fraction form
    266.57/367.91 = 150.14/x
  3. Step 3: Cross multiply
    266.57x = 367.91 × 150.14
  4. Step 4: Simplify right side
    266.57x = 55,235.42
  5. Step 5: Solve for x
    x = 55,235.42/266.57
  6. Step 6: Final answer
    x = 207.21

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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.