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Finding the Fourth Proportional to 338.31, 507.66 and 201.69

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Solution

The fourth proportional to 338.31, 507.66 and 201.69 is: 302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.31 : 507.66 = 201.69 : x
  2. Step 2: Convert to fraction form
    338.31/507.66 = 201.69/x
  3. Step 3: Cross multiply
    338.31x = 507.66 × 201.69
  4. Step 4: Simplify right side
    338.31x = 102,389.95
  5. Step 5: Solve for x
    x = 102,389.95/338.31
  6. Step 6: Final answer
    x = 302.65

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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.