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Finding the Fourth Proportional to 194.24, 267.68 and 170.72

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Solution

The fourth proportional to 194.24, 267.68 and 170.72 is: 235.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.24 : 267.68 = 170.72 : x
  2. Step 2: Convert to fraction form
    194.24/267.68 = 170.72/x
  3. Step 3: Cross multiply
    194.24x = 267.68 × 170.72
  4. Step 4: Simplify right side
    194.24x = 45,698.33
  5. Step 5: Solve for x
    x = 45,698.33/194.24
  6. Step 6: Final answer
    x = 235.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.