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Finding the Fourth Proportional to 170.46, 233.71 and 168.66

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Solution

The fourth proportional to 170.46, 233.71 and 168.66 is: 231.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.46 : 233.71 = 168.66 : x
  2. Step 2: Convert to fraction form
    170.46/233.71 = 168.66/x
  3. Step 3: Cross multiply
    170.46x = 233.71 × 168.66
  4. Step 4: Simplify right side
    170.46x = 39,417.11
  5. Step 5: Solve for x
    x = 39,417.11/170.46
  6. Step 6: Final answer
    x = 231.24

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Why These Related Problems?

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