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Finding the Fourth Proportional to 202.91, 303.75 and 195.62

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Solution

The fourth proportional to 202.91, 303.75 and 195.62 is: 292.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.91 : 303.75 = 195.62 : x
  2. Step 2: Convert to fraction form
    202.91/303.75 = 195.62/x
  3. Step 3: Cross multiply
    202.91x = 303.75 × 195.62
  4. Step 4: Simplify right side
    202.91x = 59,418.06
  5. Step 5: Solve for x
    x = 59,418.06/202.91
  6. Step 6: Final answer
    x = 292.84

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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.