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Finding the Fourth Proportional to 161.54, 221.47 and 158.61

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Solution

The fourth proportional to 161.54, 221.47 and 158.61 is: 217.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.54 : 221.47 = 158.61 : x
  2. Step 2: Convert to fraction form
    161.54/221.47 = 158.61/x
  3. Step 3: Cross multiply
    161.54x = 221.47 × 158.61
  4. Step 4: Simplify right side
    161.54x = 35,126.56
  5. Step 5: Solve for x
    x = 35,126.56/161.54
  6. Step 6: Final answer
    x = 217.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.