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Finding the Fourth Proportional to 285.84, 394.56 and 208.32

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Solution

The fourth proportional to 285.84, 394.56 and 208.32 is: 287.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.84 : 394.56 = 208.32 : x
  2. Step 2: Convert to fraction form
    285.84/394.56 = 208.32/x
  3. Step 3: Cross multiply
    285.84x = 394.56 × 208.32
  4. Step 4: Simplify right side
    285.84x = 82,194.74
  5. Step 5: Solve for x
    x = 82,194.74/285.84
  6. Step 6: Final answer
    x = 287.56

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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.