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Finding the Fourth Proportional to 303.75, 418.52 and 205.33

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Solution

The fourth proportional to 303.75, 418.52 and 205.33 is: 282.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.75 : 418.52 = 205.33 : x
  2. Step 2: Convert to fraction form
    303.75/418.52 = 205.33/x
  3. Step 3: Cross multiply
    303.75x = 418.52 × 205.33
  4. Step 4: Simplify right side
    303.75x = 85,934.71
  5. Step 5: Solve for x
    x = 85,934.71/303.75
  6. Step 6: Final answer
    x = 282.91

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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.