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Finding the Fourth Proportional to 274.46, 378.28 and 185.78

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Solution

The fourth proportional to 274.46, 378.28 and 185.78 is: 256.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.46 : 378.28 = 185.78 : x
  2. Step 2: Convert to fraction form
    274.46/378.28 = 185.78/x
  3. Step 3: Cross multiply
    274.46x = 378.28 × 185.78
  4. Step 4: Simplify right side
    274.46x = 70,276.86
  5. Step 5: Solve for x
    x = 70,276.86/274.46
  6. Step 6: Final answer
    x = 256.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.