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Finding the Fourth Proportional to 337.85, 466.39 and 226.12

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Solution

The fourth proportional to 337.85, 466.39 and 226.12 is: 312.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.85 : 466.39 = 226.12 : x
  2. Step 2: Convert to fraction form
    337.85/466.39 = 226.12/x
  3. Step 3: Cross multiply
    337.85x = 466.39 × 226.12
  4. Step 4: Simplify right side
    337.85x = 105,457.77
  5. Step 5: Solve for x
    x = 105,457.77/337.85
  6. Step 6: Final answer
    x = 312.14

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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.