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Finding the Fourth Proportional to 166.75, 230.04 and 117.69

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Solution

The fourth proportional to 166.75, 230.04 and 117.69 is: 162.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.75 : 230.04 = 117.69 : x
  2. Step 2: Convert to fraction form
    166.75/230.04 = 117.69/x
  3. Step 3: Cross multiply
    166.75x = 230.04 × 117.69
  4. Step 4: Simplify right side
    166.75x = 27,073.41
  5. Step 5: Solve for x
    x = 27,073.41/166.75
  6. Step 6: Final answer
    x = 162.36

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