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Finding the Fourth Proportional to 263.92, 395.72 and 135.66

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Solution

The fourth proportional to 263.92, 395.72 and 135.66 is: 203.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.92 : 395.72 = 135.66 : x
  2. Step 2: Convert to fraction form
    263.92/395.72 = 135.66/x
  3. Step 3: Cross multiply
    263.92x = 395.72 × 135.66
  4. Step 4: Simplify right side
    263.92x = 53,683.38
  5. Step 5: Solve for x
    x = 53,683.38/263.92
  6. Step 6: Final answer
    x = 203.41

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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.