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Finding the Fourth Proportional to 342.06, 513.28 and 212.13

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Solution

The fourth proportional to 342.06, 513.28 and 212.13 is: 318.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.06 : 513.28 = 212.13 : x
  2. Step 2: Convert to fraction form
    342.06/513.28 = 212.13/x
  3. Step 3: Cross multiply
    342.06x = 513.28 × 212.13
  4. Step 4: Simplify right side
    342.06x = 108,880.91
  5. Step 5: Solve for x
    x = 108,880.91/342.06
  6. Step 6: Final answer
    x = 318.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.