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Finding the Fourth Proportional to 456.86, 685.13 and 132.23

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Solution

The fourth proportional to 456.86, 685.13 and 132.23 is: 198.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.86 : 685.13 = 132.23 : x
  2. Step 2: Convert to fraction form
    456.86/685.13 = 132.23/x
  3. Step 3: Cross multiply
    456.86x = 685.13 × 132.23
  4. Step 4: Simplify right side
    456.86x = 90,590.65
  5. Step 5: Solve for x
    x = 90,590.65/456.86
  6. Step 6: Final answer
    x = 198.29

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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.