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Finding the Fourth Proportional to 263.52, 395.33 and 71.15

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Solution

The fourth proportional to 263.52, 395.33 and 71.15 is: 106.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.52 : 395.33 = 71.15 : x
  2. Step 2: Convert to fraction form
    263.52/395.33 = 71.15/x
  3. Step 3: Cross multiply
    263.52x = 395.33 × 71.15
  4. Step 4: Simplify right side
    263.52x = 28,125.40
  5. Step 5: Solve for x
    x = 28,125.40/263.52
  6. Step 6: Final answer
    x = 106.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.