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Finding the Fourth Proportional to 274.48, 410.99 and 171.56

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Solution

The fourth proportional to 274.48, 410.99 and 171.56 is: 256.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.48 : 410.99 = 171.56 : x
  2. Step 2: Convert to fraction form
    274.48/410.99 = 171.56/x
  3. Step 3: Cross multiply
    274.48x = 410.99 × 171.56
  4. Step 4: Simplify right side
    274.48x = 70,509.44
  5. Step 5: Solve for x
    x = 70,509.44/274.48
  6. Step 6: Final answer
    x = 256.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.