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Finding the Fourth Proportional to 202.95, 304.30 and 111.62

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Solution

The fourth proportional to 202.95, 304.30 and 111.62 is: 167.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.95 : 304.30 = 111.62 : x
  2. Step 2: Convert to fraction form
    202.95/304.30 = 111.62/x
  3. Step 3: Cross multiply
    202.95x = 304.30 × 111.62
  4. Step 4: Simplify right side
    202.95x = 33,965.97
  5. Step 5: Solve for x
    x = 33,965.97/202.95
  6. Step 6: Final answer
    x = 167.37

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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.