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Finding the Fourth Proportional to 456.65, 685.01 and 132.02

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Solution

The fourth proportional to 456.65, 685.01 and 132.02 is: 198.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.65 : 685.01 = 132.02 : x
  2. Step 2: Convert to fraction form
    456.65/685.01 = 132.02/x
  3. Step 3: Cross multiply
    456.65x = 685.01 × 132.02
  4. Step 4: Simplify right side
    456.65x = 90,435.02
  5. Step 5: Solve for x
    x = 90,435.02/456.65
  6. Step 6: Final answer
    x = 198.04

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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.