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Finding the Fourth Proportional to 303.57, 418.82 and 205.17

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Solution

The fourth proportional to 303.57, 418.82 and 205.17 is: 283.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.57 : 418.82 = 205.17 : x
  2. Step 2: Convert to fraction form
    303.57/418.82 = 205.17/x
  3. Step 3: Cross multiply
    303.57x = 418.82 × 205.17
  4. Step 4: Simplify right side
    303.57x = 85,928.27
  5. Step 5: Solve for x
    x = 85,928.27/303.57
  6. Step 6: Final answer
    x = 283.06

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Why These Related Problems?

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