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Finding the Fourth Proportional to 294.12, 405.92 and 205.72

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Solution

The fourth proportional to 294.12, 405.92 and 205.72 is: 283.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.12 : 405.92 = 205.72 : x
  2. Step 2: Convert to fraction form
    294.12/405.92 = 205.72/x
  3. Step 3: Cross multiply
    294.12x = 405.92 × 205.72
  4. Step 4: Simplify right side
    294.12x = 83,505.86
  5. Step 5: Solve for x
    x = 83,505.86/294.12
  6. Step 6: Final answer
    x = 283.92

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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.