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Finding the Fourth Proportional to 166.92, 230.26 and 155.19

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Solution

The fourth proportional to 166.92, 230.26 and 155.19 is: 214.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.92 : 230.26 = 155.19 : x
  2. Step 2: Convert to fraction form
    166.92/230.26 = 155.19/x
  3. Step 3: Cross multiply
    166.92x = 230.26 × 155.19
  4. Step 4: Simplify right side
    166.92x = 35,734.05
  5. Step 5: Solve for x
    x = 35,734.05/166.92
  6. Step 6: Final answer
    x = 214.08

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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.