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Finding the Fourth Proportional to 206.29, 309.43 and 52.21

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Solution

The fourth proportional to 206.29, 309.43 and 52.21 is: 78.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.29 : 309.43 = 52.21 : x
  2. Step 2: Convert to fraction form
    206.29/309.43 = 52.21/x
  3. Step 3: Cross multiply
    206.29x = 309.43 × 52.21
  4. Step 4: Simplify right side
    206.29x = 16,155.34
  5. Step 5: Solve for x
    x = 16,155.34/206.29
  6. Step 6: Final answer
    x = 78.31

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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.