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Finding the Fourth Proportional to 285.96, 394.66 and 208.52

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Solution

The fourth proportional to 285.96, 394.66 and 208.52 is: 287.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.96 : 394.66 = 208.52 : x
  2. Step 2: Convert to fraction form
    285.96/394.66 = 208.52/x
  3. Step 3: Cross multiply
    285.96x = 394.66 × 208.52
  4. Step 4: Simplify right side
    285.96x = 82,294.50
  5. Step 5: Solve for x
    x = 82,294.50/285.96
  6. Step 6: Final answer
    x = 287.78

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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.