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Finding the Fourth Proportional to 274.24, 378.48 and 157.80

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Solution

The fourth proportional to 274.24, 378.48 and 157.80 is: 217.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.24 : 378.48 = 157.80 : x
  2. Step 2: Convert to fraction form
    274.24/378.48 = 157.80/x
  3. Step 3: Cross multiply
    274.24x = 378.48 × 157.80
  4. Step 4: Simplify right side
    274.24x = 59,724.14
  5. Step 5: Solve for x
    x = 59,724.14/274.24
  6. Step 6: Final answer
    x = 217.78

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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.