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Finding the Fourth Proportional to 274.50, 378.81 and 176.27

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Solution

The fourth proportional to 274.50, 378.81 and 176.27 is: 243.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.50 : 378.81 = 176.27 : x
  2. Step 2: Convert to fraction form
    274.50/378.81 = 176.27/x
  3. Step 3: Cross multiply
    274.50x = 378.81 × 176.27
  4. Step 4: Simplify right side
    274.50x = 66,770.94
  5. Step 5: Solve for x
    x = 66,770.94/274.50
  6. Step 6: Final answer
    x = 243.25

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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.