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Finding the Fourth Proportional to 263.70, 363.96 and 165.42

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Solution

The fourth proportional to 263.70, 363.96 and 165.42 is: 228.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.70 : 363.96 = 165.42 : x
  2. Step 2: Convert to fraction form
    263.70/363.96 = 165.42/x
  3. Step 3: Cross multiply
    263.70x = 363.96 × 165.42
  4. Step 4: Simplify right side
    263.70x = 60,206.26
  5. Step 5: Solve for x
    x = 60,206.26/263.70
  6. Step 6: Final answer
    x = 228.31

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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.