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Finding the Fourth Proportional to 202.57, 279.60 and 119.73

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Solution

The fourth proportional to 202.57, 279.60 and 119.73 is: 165.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.57 : 279.60 = 119.73 : x
  2. Step 2: Convert to fraction form
    202.57/279.60 = 119.73/x
  3. Step 3: Cross multiply
    202.57x = 279.60 × 119.73
  4. Step 4: Simplify right side
    202.57x = 33,476.51
  5. Step 5: Solve for x
    x = 33,476.51/202.57
  6. Step 6: Final answer
    x = 165.26

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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.