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Finding the Fourth Proportional to 198.86, 274.15 and 165.68

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Solution

The fourth proportional to 198.86, 274.15 and 165.68 is: 228.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.86 : 274.15 = 165.68 : x
  2. Step 2: Convert to fraction form
    198.86/274.15 = 165.68/x
  3. Step 3: Cross multiply
    198.86x = 274.15 × 165.68
  4. Step 4: Simplify right side
    198.86x = 45,421.04
  5. Step 5: Solve for x
    x = 45,421.04/198.86
  6. Step 6: Final answer
    x = 228.41

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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.