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Finding the Fourth Proportional to 266.55, 367.68 and 168.13

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Solution

The fourth proportional to 266.55, 367.68 and 168.13 is: 231.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.55 : 367.68 = 168.13 : x
  2. Step 2: Convert to fraction form
    266.55/367.68 = 168.13/x
  3. Step 3: Cross multiply
    266.55x = 367.68 × 168.13
  4. Step 4: Simplify right side
    266.55x = 61,818.04
  5. Step 5: Solve for x
    x = 61,818.04/266.55
  6. Step 6: Final answer
    x = 231.92

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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.