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Finding the Fourth Proportional to 202.12, 278.92 and 119.20

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Solution

The fourth proportional to 202.12, 278.92 and 119.20 is: 164.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.12 : 278.92 = 119.20 : x
  2. Step 2: Convert to fraction form
    202.12/278.92 = 119.20/x
  3. Step 3: Cross multiply
    202.12x = 278.92 × 119.20
  4. Step 4: Simplify right side
    202.12x = 33,247.26
  5. Step 5: Solve for x
    x = 33,247.26/202.12
  6. Step 6: Final answer
    x = 164.49

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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.