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Finding the Fourth Proportional to 337.88, 506.81 and 109.88

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Solution

The fourth proportional to 337.88, 506.81 and 109.88 is: 164.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.88 : 506.81 = 109.88 : x
  2. Step 2: Convert to fraction form
    337.88/506.81 = 109.88/x
  3. Step 3: Cross multiply
    337.88x = 506.81 × 109.88
  4. Step 4: Simplify right side
    337.88x = 55,686.02
  5. Step 5: Solve for x
    x = 55,686.02/337.88
  6. Step 6: Final answer
    x = 164.81

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Why These Related Problems?

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