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Finding the Fourth Proportional to 161.20, 225.20 and 161.20

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Solution

The fourth proportional to 161.20, 225.20 and 161.20 is: 225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.20 : 225.20 = 161.20 : x
  2. Step 2: Convert to fraction form
    161.20/225.20 = 161.20/x
  3. Step 3: Cross multiply
    161.20x = 225.20 × 161.20
  4. Step 4: Simplify right side
    161.20x = 36,302.24
  5. Step 5: Solve for x
    x = 36,302.24/161.20
  6. Step 6: Final answer
    x = 225.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.