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Finding the Fourth Proportional to 266.45, 367.63 and 168.24

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Solution

The fourth proportional to 266.45, 367.63 and 168.24 is: 232.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.45 : 367.63 = 168.24 : x
  2. Step 2: Convert to fraction form
    266.45/367.63 = 168.24/x
  3. Step 3: Cross multiply
    266.45x = 367.63 × 168.24
  4. Step 4: Simplify right side
    266.45x = 61,849.65
  5. Step 5: Solve for x
    x = 61,849.65/266.45
  6. Step 6: Final answer
    x = 232.12

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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.