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Finding the Fourth Proportional to 263.09, 394.10 and 132.91

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Solution

The fourth proportional to 263.09, 394.10 and 132.91 is: 199.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.09 : 394.10 = 132.91 : x
  2. Step 2: Convert to fraction form
    263.09/394.10 = 132.91/x
  3. Step 3: Cross multiply
    263.09x = 394.10 × 132.91
  4. Step 4: Simplify right side
    263.09x = 52,379.83
  5. Step 5: Solve for x
    x = 52,379.83/263.09
  6. Step 6: Final answer
    x = 199.09

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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.