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Finding the Fourth Proportional to 263.57, 363.78 and 165.38

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Solution

The fourth proportional to 263.57, 363.78 and 165.38 is: 228.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.57 : 363.78 = 165.38 : x
  2. Step 2: Convert to fraction form
    263.57/363.78 = 165.38/x
  3. Step 3: Cross multiply
    263.57x = 363.78 × 165.38
  4. Step 4: Simplify right side
    263.57x = 60,160.12
  5. Step 5: Solve for x
    x = 60,160.12/263.57
  6. Step 6: Final answer
    x = 228.26

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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.