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Finding the Fourth Proportional to 338.23, 507.48 and 201.34

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Solution

The fourth proportional to 338.23, 507.48 and 201.34 is: 302.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.23 : 507.48 = 201.34 : x
  2. Step 2: Convert to fraction form
    338.23/507.48 = 201.34/x
  3. Step 3: Cross multiply
    338.23x = 507.48 × 201.34
  4. Step 4: Simplify right side
    338.23x = 102,176.02
  5. Step 5: Solve for x
    x = 102,176.02/338.23
  6. Step 6: Final answer
    x = 302.09

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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.