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Finding the Fourth Proportional to 303.19, 418.49 and 205.07

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Solution

The fourth proportional to 303.19, 418.49 and 205.07 is: 283.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.19 : 418.49 = 205.07 : x
  2. Step 2: Convert to fraction form
    303.19/418.49 = 205.07/x
  3. Step 3: Cross multiply
    303.19x = 418.49 × 205.07
  4. Step 4: Simplify right side
    303.19x = 85,819.74
  5. Step 5: Solve for x
    x = 85,819.74/303.19
  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.