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Finding the Fourth Proportional to 335.31, 502.01 and 206.67

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Solution

The fourth proportional to 335.31, 502.01 and 206.67 is: 309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.31 : 502.01 = 206.67 : x
  2. Step 2: Convert to fraction form
    335.31/502.01 = 206.67/x
  3. Step 3: Cross multiply
    335.31x = 502.01 × 206.67
  4. Step 4: Simplify right side
    335.31x = 103,749.37
  5. Step 5: Solve for x
    x = 103,749.37/335.31
  6. Step 6: Final answer
    x = 309.41

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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.