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Finding the Fourth Proportional to 336.54, 464.22 and 212.08

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Solution

The fourth proportional to 336.54, 464.22 and 212.08 is: 292.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.54 : 464.22 = 212.08 : x
  2. Step 2: Convert to fraction form
    336.54/464.22 = 212.08/x
  3. Step 3: Cross multiply
    336.54x = 464.22 × 212.08
  4. Step 4: Simplify right side
    336.54x = 98,451.78
  5. Step 5: Solve for x
    x = 98,451.78/336.54
  6. Step 6: Final answer
    x = 292.54

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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.