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Finding the Fourth Proportional to 202.07, 278.81 and 119.20

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Solution

The fourth proportional to 202.07, 278.81 and 119.20 is: 164.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.07 : 278.81 = 119.20 : x
  2. Step 2: Convert to fraction form
    202.07/278.81 = 119.20/x
  3. Step 3: Cross multiply
    202.07x = 278.81 × 119.20
  4. Step 4: Simplify right side
    202.07x = 33,233.75
  5. Step 5: Solve for x
    x = 33,233.75/202.07
  6. Step 6: Final answer
    x = 164.47

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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.