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Finding the Fourth Proportional to 199.46, 274.66 and 166.66

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Solution

The fourth proportional to 199.46, 274.66 and 166.66 is: 229.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.46 : 274.66 = 166.66 : x
  2. Step 2: Convert to fraction form
    199.46/274.66 = 166.66/x
  3. Step 3: Cross multiply
    199.46x = 274.66 × 166.66
  4. Step 4: Simplify right side
    199.46x = 45,772.63
  5. Step 5: Solve for x
    x = 45,772.63/199.46
  6. Step 6: Final answer
    x = 229.48

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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.