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Finding the Fourth Proportional to 200.90, 278.51 and 189.95

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Solution

The fourth proportional to 200.90, 278.51 and 189.95 is: 263.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.90 : 278.51 = 189.95 : x
  2. Step 2: Convert to fraction form
    200.90/278.51 = 189.95/x
  3. Step 3: Cross multiply
    200.90x = 278.51 × 189.95
  4. Step 4: Simplify right side
    200.90x = 52,902.97
  5. Step 5: Solve for x
    x = 52,902.97/200.90
  6. Step 6: Final answer
    x = 263.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.