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Finding the Fourth Proportional to 338.07, 466.07 and 213.67

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Solution

The fourth proportional to 338.07, 466.07 and 213.67 is: 294.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.07 : 466.07 = 213.67 : x
  2. Step 2: Convert to fraction form
    338.07/466.07 = 213.67/x
  3. Step 3: Cross multiply
    338.07x = 466.07 × 213.67
  4. Step 4: Simplify right side
    338.07x = 99,585.18
  5. Step 5: Solve for x
    x = 99,585.18/338.07
  6. Step 6: Final answer
    x = 294.57

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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.