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Finding the Fourth Proportional to 285.50, 394.16 and 216.38

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Solution

The fourth proportional to 285.50, 394.16 and 216.38 is: 298.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.50 : 394.16 = 216.38 : x
  2. Step 2: Convert to fraction form
    285.50/394.16 = 216.38/x
  3. Step 3: Cross multiply
    285.50x = 394.16 × 216.38
  4. Step 4: Simplify right side
    285.50x = 85,288.34
  5. Step 5: Solve for x
    x = 85,288.34/285.50
  6. Step 6: Final answer
    x = 298.73

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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.