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Finding the Fourth Proportional to 343.56, 474.08 and 212.42

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Solution

The fourth proportional to 343.56, 474.08 and 212.42 is: 293.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.56 : 474.08 = 212.42 : x
  2. Step 2: Convert to fraction form
    343.56/474.08 = 212.42/x
  3. Step 3: Cross multiply
    343.56x = 474.08 × 212.42
  4. Step 4: Simplify right side
    343.56x = 100,704.07
  5. Step 5: Solve for x
    x = 100,704.07/343.56
  6. Step 6: Final answer
    x = 293.12

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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.