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Finding the Fourth Proportional to 200.95, 301.09 and 193.46

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Solution

The fourth proportional to 200.95, 301.09 and 193.46 is: 289.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.95 : 301.09 = 193.46 : x
  2. Step 2: Convert to fraction form
    200.95/301.09 = 193.46/x
  3. Step 3: Cross multiply
    200.95x = 301.09 × 193.46
  4. Step 4: Simplify right side
    200.95x = 58,248.87
  5. Step 5: Solve for x
    x = 58,248.87/200.95
  6. Step 6: Final answer
    x = 289.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.