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Finding the Fourth Proportional to 337.23, 505.84 and 131.84

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Solution

The fourth proportional to 337.23, 505.84 and 131.84 is: 197.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.23 : 505.84 = 131.84 : x
  2. Step 2: Convert to fraction form
    337.23/505.84 = 131.84/x
  3. Step 3: Cross multiply
    337.23x = 505.84 × 131.84
  4. Step 4: Simplify right side
    337.23x = 66,689.57
  5. Step 5: Solve for x
    x = 66,689.57/337.23
  6. Step 6: Final answer
    x = 197.75

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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.