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Finding the Fourth Proportional to 266.46, 367.45 and 173.22

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Solution

The fourth proportional to 266.46, 367.45 and 173.22 is: 238.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.46 : 367.45 = 173.22 : x
  2. Step 2: Convert to fraction form
    266.46/367.45 = 173.22/x
  3. Step 3: Cross multiply
    266.46x = 367.45 × 173.22
  4. Step 4: Simplify right side
    266.46x = 63,649.69
  5. Step 5: Solve for x
    x = 63,649.69/266.46
  6. Step 6: Final answer
    x = 238.87

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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.