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Finding the Fourth Proportional to 171.24, 256.93 and 94.19

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Solution

The fourth proportional to 171.24, 256.93 and 94.19 is: 141.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.24 : 256.93 = 94.19 : x
  2. Step 2: Convert to fraction form
    171.24/256.93 = 94.19/x
  3. Step 3: Cross multiply
    171.24x = 256.93 × 94.19
  4. Step 4: Simplify right side
    171.24x = 24,198.95
  5. Step 5: Solve for x
    x = 24,198.95/171.24
  6. Step 6: Final answer
    x = 141.32

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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.