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Finding the Fourth Proportional to 161.84, 243.86 and 147.44

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Solution

The fourth proportional to 161.84, 243.86 and 147.44 is: 222.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.84 : 243.86 = 147.44 : x
  2. Step 2: Convert to fraction form
    161.84/243.86 = 147.44/x
  3. Step 3: Cross multiply
    161.84x = 243.86 × 147.44
  4. Step 4: Simplify right side
    161.84x = 35,954.72
  5. Step 5: Solve for x
    x = 35,954.72/161.84
  6. Step 6: Final answer
    x = 222.16

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Why These Related Problems?

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