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Finding the Fourth Proportional to 331.63, 457.85 and 213.81

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Solution

The fourth proportional to 331.63, 457.85 and 213.81 is: 295.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.63 : 457.85 = 213.81 : x
  2. Step 2: Convert to fraction form
    331.63/457.85 = 213.81/x
  3. Step 3: Cross multiply
    331.63x = 457.85 × 213.81
  4. Step 4: Simplify right side
    331.63x = 97,890.62
  5. Step 5: Solve for x
    x = 97,890.62/331.63
  6. Step 6: Final answer
    x = 295.18

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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.