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Finding the Fourth Proportional to 206.30, 309.46 and 69.34

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Solution

The fourth proportional to 206.30, 309.46 and 69.34 is: 104.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.30 : 309.46 = 69.34 : x
  2. Step 2: Convert to fraction form
    206.30/309.46 = 69.34/x
  3. Step 3: Cross multiply
    206.30x = 309.46 × 69.34
  4. Step 4: Simplify right side
    206.30x = 21,457.96
  5. Step 5: Solve for x
    x = 21,457.96/206.30
  6. Step 6: Final answer
    x = 104.01

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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.