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Finding the Fourth Proportional to 166.84, 251.41 and 165.46

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Solution

The fourth proportional to 166.84, 251.41 and 165.46 is: 249.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.84 : 251.41 = 165.46 : x
  2. Step 2: Convert to fraction form
    166.84/251.41 = 165.46/x
  3. Step 3: Cross multiply
    166.84x = 251.41 × 165.46
  4. Step 4: Simplify right side
    166.84x = 41,598.30
  5. Step 5: Solve for x
    x = 41,598.30/166.84
  6. Step 6: Final answer
    x = 249.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.