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Finding the Fourth Proportional to 202.40, 279.04 and 161.09

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Solution

The fourth proportional to 202.40, 279.04 and 161.09 is: 222.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.40 : 279.04 = 161.09 : x
  2. Step 2: Convert to fraction form
    202.40/279.04 = 161.09/x
  3. Step 3: Cross multiply
    202.40x = 279.04 × 161.09
  4. Step 4: Simplify right side
    202.40x = 44,950.55
  5. Step 5: Solve for x
    x = 44,950.55/202.40
  6. Step 6: Final answer
    x = 222.09

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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.