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Finding the Fourth Proportional to 303.12, 418.37 and 205.02

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Solution

The fourth proportional to 303.12, 418.37 and 205.02 is: 282.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.12 : 418.37 = 205.02 : x
  2. Step 2: Convert to fraction form
    303.12/418.37 = 205.02/x
  3. Step 3: Cross multiply
    303.12x = 418.37 × 205.02
  4. Step 4: Simplify right side
    303.12x = 85,773.19
  5. Step 5: Solve for x
    x = 85,773.19/303.12
  6. Step 6: Final answer
    x = 282.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.