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Finding the Fourth Proportional to 338.32, 506.91 and 222.70

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Solution

The fourth proportional to 338.32, 506.91 and 222.70 is: 333.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.32 : 506.91 = 222.70 : x
  2. Step 2: Convert to fraction form
    338.32/506.91 = 222.70/x
  3. Step 3: Cross multiply
    338.32x = 506.91 × 222.70
  4. Step 4: Simplify right side
    338.32x = 112,888.86
  5. Step 5: Solve for x
    x = 112,888.86/338.32
  6. Step 6: Final answer
    x = 333.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.