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Finding the Fourth Proportional to 285.48, 394.11 and 206.19

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Solution

The fourth proportional to 285.48, 394.11 and 206.19 is: 284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.48 : 394.11 = 206.19 : x
  2. Step 2: Convert to fraction form
    285.48/394.11 = 206.19/x
  3. Step 3: Cross multiply
    285.48x = 394.11 × 206.19
  4. Step 4: Simplify right side
    285.48x = 81,261.54
  5. Step 5: Solve for x
    x = 81,261.54/285.48
  6. Step 6: Final answer
    x = 284.65

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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.