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Finding the Fourth Proportional to 262.82, 394.02 and 116.57

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Solution

The fourth proportional to 262.82, 394.02 and 116.57 is: 174.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.82 : 394.02 = 116.57 : x
  2. Step 2: Convert to fraction form
    262.82/394.02 = 116.57/x
  3. Step 3: Cross multiply
    262.82x = 394.02 × 116.57
  4. Step 4: Simplify right side
    262.82x = 45,930.91
  5. Step 5: Solve for x
    x = 45,930.91/262.82
  6. Step 6: Final answer
    x = 174.76

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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.