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Finding the Fourth Proportional to 165.84, 247.24 and 161.63

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Solution

The fourth proportional to 165.84, 247.24 and 161.63 is: 240.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.84 : 247.24 = 161.63 : x
  2. Step 2: Convert to fraction form
    165.84/247.24 = 161.63/x
  3. Step 3: Cross multiply
    165.84x = 247.24 × 161.63
  4. Step 4: Simplify right side
    165.84x = 39,961.29
  5. Step 5: Solve for x
    x = 39,961.29/165.84
  6. Step 6: Final answer
    x = 240.97

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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.