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Finding the Fourth Proportional to 206.50, 309.96 and 110.32

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Solution

The fourth proportional to 206.50, 309.96 and 110.32 is: 165.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.50 : 309.96 = 110.32 : x
  2. Step 2: Convert to fraction form
    206.50/309.96 = 110.32/x
  3. Step 3: Cross multiply
    206.50x = 309.96 × 110.32
  4. Step 4: Simplify right side
    206.50x = 34,194.79
  5. Step 5: Solve for x
    x = 34,194.79/206.50
  6. Step 6: Final answer
    x = 165.59

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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.