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Finding the Fourth Proportional to 337.22, 505.84 and 120.80

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Solution

The fourth proportional to 337.22, 505.84 and 120.80 is: 181.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.22 : 505.84 = 120.80 : x
  2. Step 2: Convert to fraction form
    337.22/505.84 = 120.80/x
  3. Step 3: Cross multiply
    337.22x = 505.84 × 120.80
  4. Step 4: Simplify right side
    337.22x = 61,105.47
  5. Step 5: Solve for x
    x = 61,105.47/337.22
  6. Step 6: Final answer
    x = 181.20

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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.