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Finding the Fourth Proportional to 337.96, 507.62 and 201.26

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Solution

The fourth proportional to 337.96, 507.62 and 201.26 is: 302.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.96 : 507.62 = 201.26 : x
  2. Step 2: Convert to fraction form
    337.96/507.62 = 201.26/x
  3. Step 3: Cross multiply
    337.96x = 507.62 × 201.26
  4. Step 4: Simplify right side
    337.96x = 102,163.60
  5. Step 5: Solve for x
    x = 102,163.60/337.96
  6. Step 6: Final answer
    x = 302.29

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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.