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Finding the Fourth Proportional to 170.57, 233.87 and 167.49

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Solution

The fourth proportional to 170.57, 233.87 and 167.49 is: 229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.57 : 233.87 = 167.49 : x
  2. Step 2: Convert to fraction form
    170.57/233.87 = 167.49/x
  3. Step 3: Cross multiply
    170.57x = 233.87 × 167.49
  4. Step 4: Simplify right side
    170.57x = 39,170.05
  5. Step 5: Solve for x
    x = 39,170.05/170.57
  6. Step 6: Final answer
    x = 229.64

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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.