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Finding the Fourth Proportional to 202.05, 278.73 and 165.42

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Solution

The fourth proportional to 202.05, 278.73 and 165.42 is: 228.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.05 : 278.73 = 165.42 : x
  2. Step 2: Convert to fraction form
    202.05/278.73 = 165.42/x
  3. Step 3: Cross multiply
    202.05x = 278.73 × 165.42
  4. Step 4: Simplify right side
    202.05x = 46,107.52
  5. Step 5: Solve for x
    x = 46,107.52/202.05
  6. Step 6: Final answer
    x = 228.20

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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.