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Finding the Fourth Proportional to 266.78, 367.18 and 214.14

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Solution

The fourth proportional to 266.78, 367.18 and 214.14 is: 294.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.78 : 367.18 = 214.14 : x
  2. Step 2: Convert to fraction form
    266.78/367.18 = 214.14/x
  3. Step 3: Cross multiply
    266.78x = 367.18 × 214.14
  4. Step 4: Simplify right side
    266.78x = 78,627.93
  5. Step 5: Solve for x
    x = 78,627.93/266.78
  6. Step 6: Final answer
    x = 294.73

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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.