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Finding the Fourth Proportional to 199.20, 274.41 and 165.99

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Solution

The fourth proportional to 199.20, 274.41 and 165.99 is: 228.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.20 : 274.41 = 165.99 : x
  2. Step 2: Convert to fraction form
    199.20/274.41 = 165.99/x
  3. Step 3: Cross multiply
    199.20x = 274.41 × 165.99
  4. Step 4: Simplify right side
    199.20x = 45,549.32
  5. Step 5: Solve for x
    x = 45,549.32/199.20
  6. Step 6: Final answer
    x = 228.66

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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.