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Finding the Fourth Proportional to 274.51, 411.09 and 171.64

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Solution

The fourth proportional to 274.51, 411.09 and 171.64 is: 257.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.51 : 411.09 = 171.64 : x
  2. Step 2: Convert to fraction form
    274.51/411.09 = 171.64/x
  3. Step 3: Cross multiply
    274.51x = 411.09 × 171.64
  4. Step 4: Simplify right side
    274.51x = 70,559.49
  5. Step 5: Solve for x
    x = 70,559.49/274.51
  6. Step 6: Final answer
    x = 257.04

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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.