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Finding the Fourth Proportional to 194.24, 290.90 and 171.17

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Solution

The fourth proportional to 194.24, 290.90 and 171.17 is: 256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.24 : 290.90 = 171.17 : x
  2. Step 2: Convert to fraction form
    194.24/290.90 = 171.17/x
  3. Step 3: Cross multiply
    194.24x = 290.90 × 171.17
  4. Step 4: Simplify right side
    194.24x = 49,793.35
  5. Step 5: Solve for x
    x = 49,793.35/194.24
  6. Step 6: Final answer
    x = 256.35

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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.