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Finding the Fourth Proportional to 237.72, 328.14 and 198.04

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Solution

The fourth proportional to 237.72, 328.14 and 198.04 is: 273.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.72 : 328.14 = 198.04 : x
  2. Step 2: Convert to fraction form
    237.72/328.14 = 198.04/x
  3. Step 3: Cross multiply
    237.72x = 328.14 × 198.04
  4. Step 4: Simplify right side
    237.72x = 64,984.85
  5. Step 5: Solve for x
    x = 64,984.85/237.72
  6. Step 6: Final answer
    x = 273.37

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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.