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Finding the Fourth Proportional to 206.70, 309.66 and 172.68

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Solution

The fourth proportional to 206.70, 309.66 and 172.68 is: 258.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.70 : 309.66 = 172.68 : x
  2. Step 2: Convert to fraction form
    206.70/309.66 = 172.68/x
  3. Step 3: Cross multiply
    206.70x = 309.66 × 172.68
  4. Step 4: Simplify right side
    206.70x = 53,472.09
  5. Step 5: Solve for x
    x = 53,472.09/206.70
  6. Step 6: Final answer
    x = 258.69

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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.