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Finding the Fourth Proportional to 266.02, 367.24 and 167.83

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Solution

The fourth proportional to 266.02, 367.24 and 167.83 is: 231.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.02 : 367.24 = 167.83 : x
  2. Step 2: Convert to fraction form
    266.02/367.24 = 167.83/x
  3. Step 3: Cross multiply
    266.02x = 367.24 × 167.83
  4. Step 4: Simplify right side
    266.02x = 61,633.89
  5. Step 5: Solve for x
    x = 61,633.89/266.02
  6. Step 6: Final answer
    x = 231.69

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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.