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Finding the Fourth Proportional to 337.02, 464.97 and 218.96

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Solution

The fourth proportional to 337.02, 464.97 and 218.96 is: 302.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.02 : 464.97 = 218.96 : x
  2. Step 2: Convert to fraction form
    337.02/464.97 = 218.96/x
  3. Step 3: Cross multiply
    337.02x = 464.97 × 218.96
  4. Step 4: Simplify right side
    337.02x = 101,809.83
  5. Step 5: Solve for x
    x = 101,809.83/337.02
  6. Step 6: Final answer
    x = 302.09

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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.