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Finding the Fourth Proportional to 285.84, 394.20 and 208.08

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Solution

The fourth proportional to 285.84, 394.20 and 208.08 is: 286.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.84 : 394.20 = 208.08 : x
  2. Step 2: Convert to fraction form
    285.84/394.20 = 208.08/x
  3. Step 3: Cross multiply
    285.84x = 394.20 × 208.08
  4. Step 4: Simplify right side
    285.84x = 82,025.14
  5. Step 5: Solve for x
    x = 82,025.14/285.84
  6. Step 6: Final answer
    x = 286.96

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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.