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Finding the Fourth Proportional to 266.34, 367.17 and 219.65

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Solution

The fourth proportional to 266.34, 367.17 and 219.65 is: 302.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.34 : 367.17 = 219.65 : x
  2. Step 2: Convert to fraction form
    266.34/367.17 = 219.65/x
  3. Step 3: Cross multiply
    266.34x = 367.17 × 219.65
  4. Step 4: Simplify right side
    266.34x = 80,647.05
  5. Step 5: Solve for x
    x = 80,647.05/266.34
  6. Step 6: Final answer
    x = 302.80

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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.