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Finding the Fourth Proportional to 337.14, 464.96 and 212.66

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Solution

The fourth proportional to 337.14, 464.96 and 212.66 is: 293.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.14 : 464.96 = 212.66 : x
  2. Step 2: Convert to fraction form
    337.14/464.96 = 212.66/x
  3. Step 3: Cross multiply
    337.14x = 464.96 × 212.66
  4. Step 4: Simplify right side
    337.14x = 98,878.39
  5. Step 5: Solve for x
    x = 98,878.39/337.14
  6. Step 6: Final answer
    x = 293.29

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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.