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Finding the Fourth Proportional to 336.22, 463.66 and 237.67

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Solution

The fourth proportional to 336.22, 463.66 and 237.67 is: 327.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.22 : 463.66 = 237.67 : x
  2. Step 2: Convert to fraction form
    336.22/463.66 = 237.67/x
  3. Step 3: Cross multiply
    336.22x = 463.66 × 237.67
  4. Step 4: Simplify right side
    336.22x = 110,198.07
  5. Step 5: Solve for x
    x = 110,198.07/336.22
  6. Step 6: Final answer
    x = 327.76

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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.