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Finding the Fourth Proportional to 338.09, 466.09 and 213.68

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Solution

The fourth proportional to 338.09, 466.09 and 213.68 is: 294.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.09 : 466.09 = 213.68 : x
  2. Step 2: Convert to fraction form
    338.09/466.09 = 213.68/x
  3. Step 3: Cross multiply
    338.09x = 466.09 × 213.68
  4. Step 4: Simplify right side
    338.09x = 99,595.81
  5. Step 5: Solve for x
    x = 99,595.81/338.09
  6. Step 6: Final answer
    x = 294.59

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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.