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Finding the Fourth Proportional to 274.20, 378.26 and 176.12

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Solution

The fourth proportional to 274.20, 378.26 and 176.12 is: 242.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.20 : 378.26 = 176.12 : x
  2. Step 2: Convert to fraction form
    274.20/378.26 = 176.12/x
  3. Step 3: Cross multiply
    274.20x = 378.26 × 176.12
  4. Step 4: Simplify right side
    274.20x = 66,619.15
  5. Step 5: Solve for x
    x = 66,619.15/274.20
  6. Step 6: Final answer
    x = 242.96

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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.