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Finding the Fourth Proportional to 202.67, 279.75 and 119.78

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Solution

The fourth proportional to 202.67, 279.75 and 119.78 is: 165.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.67 : 279.75 = 119.78 : x
  2. Step 2: Convert to fraction form
    202.67/279.75 = 119.78/x
  3. Step 3: Cross multiply
    202.67x = 279.75 × 119.78
  4. Step 4: Simplify right side
    202.67x = 33,508.46
  5. Step 5: Solve for x
    x = 33,508.46/202.67
  6. Step 6: Final answer
    x = 165.34

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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.