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Finding the Fourth Proportional to 263.24, 363.34 and 211.14

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Solution

The fourth proportional to 263.24, 363.34 and 211.14 is: 291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.24 : 363.34 = 211.14 : x
  2. Step 2: Convert to fraction form
    263.24/363.34 = 211.14/x
  3. Step 3: Cross multiply
    263.24x = 363.34 × 211.14
  4. Step 4: Simplify right side
    263.24x = 76,715.08
  5. Step 5: Solve for x
    x = 76,715.08/263.24
  6. Step 6: Final answer
    x = 291.43

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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.