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Finding the Fourth Proportional to 202.14, 278.73 and 165.19

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Solution

The fourth proportional to 202.14, 278.73 and 165.19 is: 227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.14 : 278.73 = 165.19 : x
  2. Step 2: Convert to fraction form
    202.14/278.73 = 165.19/x
  3. Step 3: Cross multiply
    202.14x = 278.73 × 165.19
  4. Step 4: Simplify right side
    202.14x = 46,043.41
  5. Step 5: Solve for x
    x = 46,043.41/202.14
  6. Step 6: Final answer
    x = 227.78

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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.