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Finding the Fourth Proportional to 170.18, 234.34 and 166.76

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Solution

The fourth proportional to 170.18, 234.34 and 166.76 is: 229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.18 : 234.34 = 166.76 : x
  2. Step 2: Convert to fraction form
    170.18/234.34 = 166.76/x
  3. Step 3: Cross multiply
    170.18x = 234.34 × 166.76
  4. Step 4: Simplify right side
    170.18x = 39,078.77
  5. Step 5: Solve for x
    x = 39,078.77/170.18
  6. Step 6: Final answer
    x = 229.64

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Why These Related Problems?

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