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Finding the Fourth Proportional to 198.16, 273.64 and 167.04

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Solution

The fourth proportional to 198.16, 273.64 and 167.04 is: 230.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.16 : 273.64 = 167.04 : x
  2. Step 2: Convert to fraction form
    198.16/273.64 = 167.04/x
  3. Step 3: Cross multiply
    198.16x = 273.64 × 167.04
  4. Step 4: Simplify right side
    198.16x = 45,708.83
  5. Step 5: Solve for x
    x = 45,708.83/198.16
  6. Step 6: Final answer
    x = 230.67

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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.