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Finding the Fourth Proportional to 338.96, 507.53 and 201.67

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Solution

The fourth proportional to 338.96, 507.53 and 201.67 is: 301.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.96 : 507.53 = 201.67 : x
  2. Step 2: Convert to fraction form
    338.96/507.53 = 201.67/x
  3. Step 3: Cross multiply
    338.96x = 507.53 × 201.67
  4. Step 4: Simplify right side
    338.96x = 102,352.81
  5. Step 5: Solve for x
    x = 102,352.81/338.96
  6. Step 6: Final answer
    x = 301.96

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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.