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Finding the Fourth Proportional to 337.05, 505.52 and 105.90

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Solution

The fourth proportional to 337.05, 505.52 and 105.90 is: 158.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.05 : 505.52 = 105.90 : x
  2. Step 2: Convert to fraction form
    337.05/505.52 = 105.90/x
  3. Step 3: Cross multiply
    337.05x = 505.52 × 105.90
  4. Step 4: Simplify right side
    337.05x = 53,534.57
  5. Step 5: Solve for x
    x = 53,534.57/337.05
  6. Step 6: Final answer
    x = 158.83

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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.