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Finding the Fourth Proportional to 170.30, 233.46 and 167.20

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Solution

The fourth proportional to 170.30, 233.46 and 167.20 is: 229.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.30 : 233.46 = 167.20 : x
  2. Step 2: Convert to fraction form
    170.30/233.46 = 167.20/x
  3. Step 3: Cross multiply
    170.30x = 233.46 × 167.20
  4. Step 4: Simplify right side
    170.30x = 39,033.46
  5. Step 5: Solve for x
    x = 39,033.46/170.30
  6. Step 6: Final answer
    x = 229.20

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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.