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Finding the Fourth Proportional to 285.37, 394.01 and 218.87

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Solution

The fourth proportional to 285.37, 394.01 and 218.87 is: 302.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.37 : 394.01 = 218.87 : x
  2. Step 2: Convert to fraction form
    285.37/394.01 = 218.87/x
  3. Step 3: Cross multiply
    285.37x = 394.01 × 218.87
  4. Step 4: Simplify right side
    285.37x = 86,234.45
  5. Step 5: Solve for x
    x = 86,234.45/285.37
  6. Step 6: Final answer
    x = 302.18

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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.