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Finding the Fourth Proportional to 337.81, 466.00 and 213.26

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Solution

The fourth proportional to 337.81, 466.00 and 213.26 is: 294.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.81 : 466.00 = 213.26 : x
  2. Step 2: Convert to fraction form
    337.81/466.00 = 213.26/x
  3. Step 3: Cross multiply
    337.81x = 466.00 × 213.26
  4. Step 4: Simplify right side
    337.81x = 99,378.81
  5. Step 5: Solve for x
    x = 99,378.81/337.81
  6. Step 6: Final answer
    x = 294.18

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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.