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Finding the Fourth Proportional to 336.08, 502.82 and 206.05

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Solution

The fourth proportional to 336.08, 502.82 and 206.05 is: 308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.08 : 502.82 = 206.05 : x
  2. Step 2: Convert to fraction form
    336.08/502.82 = 206.05/x
  3. Step 3: Cross multiply
    336.08x = 502.82 × 206.05
  4. Step 4: Simplify right side
    336.08x = 103,604.29
  5. Step 5: Solve for x
    x = 103,604.29/336.08
  6. Step 6: Final answer
    x = 308.28

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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.