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Finding the Fourth Proportional to 202.30, 302.86 and 110.67

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Solution

The fourth proportional to 202.30, 302.86 and 110.67 is: 165.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.30 : 302.86 = 110.67 : x
  2. Step 2: Convert to fraction form
    202.30/302.86 = 110.67/x
  3. Step 3: Cross multiply
    202.30x = 302.86 × 110.67
  4. Step 4: Simplify right side
    202.30x = 33,517.52
  5. Step 5: Solve for x
    x = 33,517.52/202.30
  6. Step 6: Final answer
    x = 165.68

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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.