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Finding the Fourth Proportional to 202.19, 302.97 and 93.85

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Solution

The fourth proportional to 202.19, 302.97 and 93.85 is: 140.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.19 : 302.97 = 93.85 : x
  2. Step 2: Convert to fraction form
    202.19/302.97 = 93.85/x
  3. Step 3: Cross multiply
    202.19x = 302.97 × 93.85
  4. Step 4: Simplify right side
    202.19x = 28,433.73
  5. Step 5: Solve for x
    x = 28,433.73/202.19
  6. Step 6: Final answer
    x = 140.63

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