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Finding the Fourth Proportional to 295.52, 443.28 and 204.19

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Solution

The fourth proportional to 295.52, 443.28 and 204.19 is: 306.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.52 : 443.28 = 204.19 : x
  2. Step 2: Convert to fraction form
    295.52/443.28 = 204.19/x
  3. Step 3: Cross multiply
    295.52x = 443.28 × 204.19
  4. Step 4: Simplify right side
    295.52x = 90,513.34
  5. Step 5: Solve for x
    x = 90,513.34/295.52
  6. Step 6: Final answer
    x = 306.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.