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Finding the Fourth Proportional to 166.66, 230.17 and 111.63

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Solution

The fourth proportional to 166.66, 230.17 and 111.63 is: 154.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.66 : 230.17 = 111.63 : x
  2. Step 2: Convert to fraction form
    166.66/230.17 = 111.63/x
  3. Step 3: Cross multiply
    166.66x = 230.17 × 111.63
  4. Step 4: Simplify right side
    166.66x = 25,693.88
  5. Step 5: Solve for x
    x = 25,693.88/166.66
  6. Step 6: Final answer
    x = 154.17

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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.