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Finding the Fourth Proportional to 202.54, 301.82 and 191.50

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Solution

The fourth proportional to 202.54, 301.82 and 191.50 is: 285.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.54 : 301.82 = 191.50 : x
  2. Step 2: Convert to fraction form
    202.54/301.82 = 191.50/x
  3. Step 3: Cross multiply
    202.54x = 301.82 × 191.50
  4. Step 4: Simplify right side
    202.54x = 57,797.57
  5. Step 5: Solve for x
    x = 57,797.57/202.54
  6. Step 6: Final answer
    x = 285.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.