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Finding the Fourth Proportional to 285.90, 394.27 and 207.73

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Solution

The fourth proportional to 285.90, 394.27 and 207.73 is: 286.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.90 : 394.27 = 207.73 : x
  2. Step 2: Convert to fraction form
    285.90/394.27 = 207.73/x
  3. Step 3: Cross multiply
    285.90x = 394.27 × 207.73
  4. Step 4: Simplify right side
    285.90x = 81,901.71
  5. Step 5: Solve for x
    x = 81,901.71/285.90
  6. Step 6: Final answer
    x = 286.47

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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.