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Finding the Fourth Proportional to 263.72, 363.88 and 228.69

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Solution

The fourth proportional to 263.72, 363.88 and 228.69 is: 315.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.72 : 363.88 = 228.69 : x
  2. Step 2: Convert to fraction form
    263.72/363.88 = 228.69/x
  3. Step 3: Cross multiply
    263.72x = 363.88 × 228.69
  4. Step 4: Simplify right side
    263.72x = 83,214.72
  5. Step 5: Solve for x
    x = 83,214.72/263.72
  6. Step 6: Final answer
    x = 315.54

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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.