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Finding the Fourth Proportional to 337.76, 506.62 and 109.76

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Solution

The fourth proportional to 337.76, 506.62 and 109.76 is: 164.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.76 : 506.62 = 109.76 : x
  2. Step 2: Convert to fraction form
    337.76/506.62 = 109.76/x
  3. Step 3: Cross multiply
    337.76x = 506.62 × 109.76
  4. Step 4: Simplify right side
    337.76x = 55,606.61
  5. Step 5: Solve for x
    x = 55,606.61/337.76
  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.