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Finding the Fourth Proportional to 338.30, 466.89 and 212.35

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Solution

The fourth proportional to 338.30, 466.89 and 212.35 is: 293.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.30 : 466.89 = 212.35 : x
  2. Step 2: Convert to fraction form
    338.30/466.89 = 212.35/x
  3. Step 3: Cross multiply
    338.30x = 466.89 × 212.35
  4. Step 4: Simplify right side
    338.30x = 99,144.09
  5. Step 5: Solve for x
    x = 99,144.09/338.30
  6. Step 6: Final answer
    x = 293.07

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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.