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Finding the Fourth Proportional to 166.90, 230.37 and 111.76

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Solution

The fourth proportional to 166.90, 230.37 and 111.76 is: 154.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.90 : 230.37 = 111.76 : x
  2. Step 2: Convert to fraction form
    166.90/230.37 = 111.76/x
  3. Step 3: Cross multiply
    166.90x = 230.37 × 111.76
  4. Step 4: Simplify right side
    166.90x = 25,746.15
  5. Step 5: Solve for x
    x = 25,746.15/166.90
  6. Step 6: Final answer
    x = 154.26

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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.