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Finding the Fourth Proportional to 166.97, 230.26 and 155.04

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Solution

The fourth proportional to 166.97, 230.26 and 155.04 is: 213.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.97 : 230.26 = 155.04 : x
  2. Step 2: Convert to fraction form
    166.97/230.26 = 155.04/x
  3. Step 3: Cross multiply
    166.97x = 230.26 × 155.04
  4. Step 4: Simplify right side
    166.97x = 35,699.51
  5. Step 5: Solve for x
    x = 35,699.51/166.97
  6. Step 6: Final answer
    x = 213.81

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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.