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Finding the Fourth Proportional to 166.82, 248.97 and 156.11

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Solution

The fourth proportional to 166.82, 248.97 and 156.11 is: 232.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.82 : 248.97 = 156.11 : x
  2. Step 2: Convert to fraction form
    166.82/248.97 = 156.11/x
  3. Step 3: Cross multiply
    166.82x = 248.97 × 156.11
  4. Step 4: Simplify right side
    166.82x = 38,865.46
  5. Step 5: Solve for x
    x = 38,865.46/166.82
  6. Step 6: Final answer
    x = 232.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.