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Finding the Fourth Proportional to 263.78, 363.94 and 153.22

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Solution

The fourth proportional to 263.78, 363.94 and 153.22 is: 211.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.78 : 363.94 = 153.22 : x
  2. Step 2: Convert to fraction form
    263.78/363.94 = 153.22/x
  3. Step 3: Cross multiply
    263.78x = 363.94 × 153.22
  4. Step 4: Simplify right side
    263.78x = 55,761.59
  5. Step 5: Solve for x
    x = 55,761.59/263.78
  6. Step 6: Final answer
    x = 211.39

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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.