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Finding the Fourth Proportional to 337.20, 465.18 and 212.80

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Solution

The fourth proportional to 337.20, 465.18 and 212.80 is: 293.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.20 : 465.18 = 212.80 : x
  2. Step 2: Convert to fraction form
    337.20/465.18 = 212.80/x
  3. Step 3: Cross multiply
    337.20x = 465.18 × 212.80
  4. Step 4: Simplify right side
    337.20x = 98,990.30
  5. Step 5: Solve for x
    x = 98,990.30/337.20
  6. Step 6: Final answer
    x = 293.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.