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Finding the Fourth Proportional to 268.38, 369.63 and 202.77

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Solution

The fourth proportional to 268.38, 369.63 and 202.77 is: 279.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.38 : 369.63 = 202.77 : x
  2. Step 2: Convert to fraction form
    268.38/369.63 = 202.77/x
  3. Step 3: Cross multiply
    268.38x = 369.63 × 202.77
  4. Step 4: Simplify right side
    268.38x = 74,949.88
  5. Step 5: Solve for x
    x = 74,949.88/268.38
  6. Step 6: Final answer
    x = 279.27

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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.