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Finding the Fourth Proportional to 303.72, 418.89 and 205.44

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Solution

The fourth proportional to 303.72, 418.89 and 205.44 is: 283.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.72 : 418.89 = 205.44 : x
  2. Step 2: Convert to fraction form
    303.72/418.89 = 205.44/x
  3. Step 3: Cross multiply
    303.72x = 418.89 × 205.44
  4. Step 4: Simplify right side
    303.72x = 86,056.76
  5. Step 5: Solve for x
    x = 86,056.76/303.72
  6. Step 6: Final answer
    x = 283.34

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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.