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Finding the Fourth Proportional to 161.30, 224.09 and 159.80

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Solution

The fourth proportional to 161.30, 224.09 and 159.80 is: 222.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.30 : 224.09 = 159.80 : x
  2. Step 2: Convert to fraction form
    161.30/224.09 = 159.80/x
  3. Step 3: Cross multiply
    161.30x = 224.09 × 159.80
  4. Step 4: Simplify right side
    161.30x = 35,809.58
  5. Step 5: Solve for x
    x = 35,809.58/161.30
  6. Step 6: Final answer
    x = 222.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.