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Finding the Fourth Proportional to 337.75, 506.64 and 109.75

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Solution

The fourth proportional to 337.75, 506.64 and 109.75 is: 164.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.75 : 506.64 = 109.75 : x
  2. Step 2: Convert to fraction form
    337.75/506.64 = 109.75/x
  3. Step 3: Cross multiply
    337.75x = 506.64 × 109.75
  4. Step 4: Simplify right side
    337.75x = 55,603.74
  5. Step 5: Solve for x
    x = 55,603.74/337.75
  6. Step 6: Final answer
    x = 164.63

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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.