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Finding the Fourth Proportional to 338.28, 466.66 and 213.84

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Solution

The fourth proportional to 338.28, 466.66 and 213.84 is: 295.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.28 : 466.66 = 213.84 : x
  2. Step 2: Convert to fraction form
    338.28/466.66 = 213.84/x
  3. Step 3: Cross multiply
    338.28x = 466.66 × 213.84
  4. Step 4: Simplify right side
    338.28x = 99,790.84
  5. Step 5: Solve for x
    x = 99,790.84/338.28
  6. Step 6: Final answer
    x = 295.00

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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.