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Finding the Fourth Proportional to 202.89, 304.20 and 65.88

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Solution

The fourth proportional to 202.89, 304.20 and 65.88 is: 98.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.89 : 304.20 = 65.88 : x
  2. Step 2: Convert to fraction form
    202.89/304.20 = 65.88/x
  3. Step 3: Cross multiply
    202.89x = 304.20 × 65.88
  4. Step 4: Simplify right side
    202.89x = 20,040.70
  5. Step 5: Solve for x
    x = 20,040.70/202.89
  6. Step 6: Final answer
    x = 98.78

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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.