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Finding the Fourth Proportional to 263.42, 395.10 and 80.82

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Solution

The fourth proportional to 263.42, 395.10 and 80.82 is: 121.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.42 : 395.10 = 80.82 : x
  2. Step 2: Convert to fraction form
    263.42/395.10 = 80.82/x
  3. Step 3: Cross multiply
    263.42x = 395.10 × 80.82
  4. Step 4: Simplify right side
    263.42x = 31,931.98
  5. Step 5: Solve for x
    x = 31,931.98/263.42
  6. Step 6: Final answer
    x = 121.22

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Why These Related Problems?

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