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Finding the Fourth Proportional to 294.13, 405.96 and 205.57

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Solution

The fourth proportional to 294.13, 405.96 and 205.57 is: 283.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.13 : 405.96 = 205.57 : x
  2. Step 2: Convert to fraction form
    294.13/405.96 = 205.57/x
  3. Step 3: Cross multiply
    294.13x = 405.96 × 205.57
  4. Step 4: Simplify right side
    294.13x = 83,453.20
  5. Step 5: Solve for x
    x = 83,453.20/294.13
  6. Step 6: Final answer
    x = 283.73

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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.