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Finding the Fourth Proportional to 161.44, 221.25 and 158.40

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Solution

The fourth proportional to 161.44, 221.25 and 158.40 is: 217.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.44 : 221.25 = 158.40 : x
  2. Step 2: Convert to fraction form
    161.44/221.25 = 158.40/x
  3. Step 3: Cross multiply
    161.44x = 221.25 × 158.40
  4. Step 4: Simplify right side
    161.44x = 35,046
  5. Step 5: Solve for x
    x = 35,046/161.44
  6. Step 6: Final answer
    x = 217.09

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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.