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Finding the Fourth Proportional to 263.75, 363.71 and 228.77

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Solution

The fourth proportional to 263.75, 363.71 and 228.77 is: 315.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.75 : 363.71 = 228.77 : x
  2. Step 2: Convert to fraction form
    263.75/363.71 = 228.77/x
  3. Step 3: Cross multiply
    263.75x = 363.71 × 228.77
  4. Step 4: Simplify right side
    263.75x = 83,205.94
  5. Step 5: Solve for x
    x = 83,205.94/263.75
  6. Step 6: Final answer
    x = 315.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.