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Finding the Fourth Proportional to 338.74, 507.12 and 201.40

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Solution

The fourth proportional to 338.74, 507.12 and 201.40 is: 301.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.74 : 507.12 = 201.40 : x
  2. Step 2: Convert to fraction form
    338.74/507.12 = 201.40/x
  3. Step 3: Cross multiply
    338.74x = 507.12 × 201.40
  4. Step 4: Simplify right side
    338.74x = 102,133.97
  5. Step 5: Solve for x
    x = 102,133.97/338.74
  6. Step 6: Final answer
    x = 301.51

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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.