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Finding the Fourth Proportional to 198.16, 273.36 and 165.40

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Solution

The fourth proportional to 198.16, 273.36 and 165.40 is: 228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.16 : 273.36 = 165.40 : x
  2. Step 2: Convert to fraction form
    198.16/273.36 = 165.40/x
  3. Step 3: Cross multiply
    198.16x = 273.36 × 165.40
  4. Step 4: Simplify right side
    198.16x = 45,213.74
  5. Step 5: Solve for x
    x = 45,213.74/198.16
  6. Step 6: Final answer
    x = 228.17

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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.