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Finding the Fourth Proportional to 203.14, 279.69 and 161.13

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Solution

The fourth proportional to 203.14, 279.69 and 161.13 is: 221.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.14 : 279.69 = 161.13 : x
  2. Step 2: Convert to fraction form
    203.14/279.69 = 161.13/x
  3. Step 3: Cross multiply
    203.14x = 279.69 × 161.13
  4. Step 4: Simplify right side
    203.14x = 45,066.45
  5. Step 5: Solve for x
    x = 45,066.45/203.14
  6. Step 6: Final answer
    x = 221.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.