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Finding the Fourth Proportional to 274.57, 379.11 and 176.38

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Solution

The fourth proportional to 274.57, 379.11 and 176.38 is: 243.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.57 : 379.11 = 176.38 : x
  2. Step 2: Convert to fraction form
    274.57/379.11 = 176.38/x
  3. Step 3: Cross multiply
    274.57x = 379.11 × 176.38
  4. Step 4: Simplify right side
    274.57x = 66,867.42
  5. Step 5: Solve for x
    x = 66,867.42/274.57
  6. Step 6: Final answer
    x = 243.54

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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.