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Finding the Fourth Proportional to 263.78, 363.86 and 153.24

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Solution

The fourth proportional to 263.78, 363.86 and 153.24 is: 211.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.78 : 363.86 = 153.24 : x
  2. Step 2: Convert to fraction form
    263.78/363.86 = 153.24/x
  3. Step 3: Cross multiply
    263.78x = 363.86 × 153.24
  4. Step 4: Simplify right side
    263.78x = 55,757.91
  5. Step 5: Solve for x
    x = 55,757.91/263.78
  6. Step 6: Final answer
    x = 211.38

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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.