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Finding the Fourth Proportional to 171.86, 235.85 and 170.64

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Solution

The fourth proportional to 171.86, 235.85 and 170.64 is: 234.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.86 : 235.85 = 170.64 : x
  2. Step 2: Convert to fraction form
    171.86/235.85 = 170.64/x
  3. Step 3: Cross multiply
    171.86x = 235.85 × 170.64
  4. Step 4: Simplify right side
    171.86x = 40,244.59
  5. Step 5: Solve for x
    x = 40,244.59/171.86
  6. Step 6: Final answer
    x = 234.18

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.