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Finding the Fourth Proportional to 161.42, 221.38 and 159.12

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Solution

The fourth proportional to 161.42, 221.38 and 159.12 is: 218.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.42 : 221.38 = 159.12 : x
  2. Step 2: Convert to fraction form
    161.42/221.38 = 159.12/x
  3. Step 3: Cross multiply
    161.42x = 221.38 × 159.12
  4. Step 4: Simplify right side
    161.42x = 35,225.59
  5. Step 5: Solve for x
    x = 35,225.59/161.42
  6. Step 6: Final answer
    x = 218.23

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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.