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Finding the Fourth Proportional to 274.79, 378.99 and 176.55

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Solution

The fourth proportional to 274.79, 378.99 and 176.55 is: 243.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.79 : 378.99 = 176.55 : x
  2. Step 2: Convert to fraction form
    274.79/378.99 = 176.55/x
  3. Step 3: Cross multiply
    274.79x = 378.99 × 176.55
  4. Step 4: Simplify right side
    274.79x = 66,910.68
  5. Step 5: Solve for x
    x = 66,910.68/274.79
  6. Step 6: Final answer
    x = 243.50

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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.