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Finding the Fourth Proportional to 266.46, 367.42 and 168.05

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Solution

The fourth proportional to 266.46, 367.42 and 168.05 is: 231.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.46 : 367.42 = 168.05 : x
  2. Step 2: Convert to fraction form
    266.46/367.42 = 168.05/x
  3. Step 3: Cross multiply
    266.46x = 367.42 × 168.05
  4. Step 4: Simplify right side
    266.46x = 61,744.93
  5. Step 5: Solve for x
    x = 61,744.93/266.46
  6. Step 6: Final answer
    x = 231.72

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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.