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Finding the Fourth Proportional to 262.12, 392.94 and 91

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Solution

The fourth proportional to 262.12, 392.94 and 91 is: 136.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.12 : 392.94 = 91 : x
  2. Step 2: Convert to fraction form
    262.12/392.94 = 91/x
  3. Step 3: Cross multiply
    262.12x = 392.94 × 91
  4. Step 4: Simplify right side
    262.12x = 35,757.54
  5. Step 5: Solve for x
    x = 35,757.54/262.12
  6. Step 6: Final answer
    x = 136.42

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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.