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Finding the Fourth Proportional to 303.50, 418.61 and 205.08

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Solution

The fourth proportional to 303.50, 418.61 and 205.08 is: 282.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.50 : 418.61 = 205.08 : x
  2. Step 2: Convert to fraction form
    303.50/418.61 = 205.08/x
  3. Step 3: Cross multiply
    303.50x = 418.61 × 205.08
  4. Step 4: Simplify right side
    303.50x = 85,847.51
  5. Step 5: Solve for x
    x = 85,847.51/303.50
  6. Step 6: Final answer
    x = 282.86

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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.