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Finding the Fourth Proportional to 198.51, 273.96 and 124.86

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Solution

The fourth proportional to 198.51, 273.96 and 124.86 is: 172.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.51 : 273.96 = 124.86 : x
  2. Step 2: Convert to fraction form
    198.51/273.96 = 124.86/x
  3. Step 3: Cross multiply
    198.51x = 273.96 × 124.86
  4. Step 4: Simplify right side
    198.51x = 34,206.65
  5. Step 5: Solve for x
    x = 34,206.65/198.51
  6. Step 6: Final answer
    x = 172.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.