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Finding the Fourth Proportional to 206.23, 285.15 and 180.29

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Solution

The fourth proportional to 206.23, 285.15 and 180.29 is: 249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.23 : 285.15 = 180.29 : x
  2. Step 2: Convert to fraction form
    206.23/285.15 = 180.29/x
  3. Step 3: Cross multiply
    206.23x = 285.15 × 180.29
  4. Step 4: Simplify right side
    206.23x = 51,408.79
  5. Step 5: Solve for x
    x = 51,408.79/206.23
  6. Step 6: Final answer
    x = 249.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.