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Finding the Fourth Proportional to 262.91, 393.89 and 171.38

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Solution

The fourth proportional to 262.91, 393.89 and 171.38 is: 256.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.91 : 393.89 = 171.38 : x
  2. Step 2: Convert to fraction form
    262.91/393.89 = 171.38/x
  3. Step 3: Cross multiply
    262.91x = 393.89 × 171.38
  4. Step 4: Simplify right side
    262.91x = 67,502.04
  5. Step 5: Solve for x
    x = 67,502.04/262.91
  6. Step 6: Final answer
    x = 256.75

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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.