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Finding the Fourth Proportional to 303.40, 418.35 and 205.21

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Solution

The fourth proportional to 303.40, 418.35 and 205.21 is: 282.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.40 : 418.35 = 205.21 : x
  2. Step 2: Convert to fraction form
    303.40/418.35 = 205.21/x
  3. Step 3: Cross multiply
    303.40x = 418.35 × 205.21
  4. Step 4: Simplify right side
    303.40x = 85,849.60
  5. Step 5: Solve for x
    x = 85,849.60/303.40
  6. Step 6: Final answer
    x = 282.96

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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.