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Finding the Fourth Proportional to 206.25, 309.36 and 129.24

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Solution

The fourth proportional to 206.25, 309.36 and 129.24 is: 193.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.25 : 309.36 = 129.24 : x
  2. Step 2: Convert to fraction form
    206.25/309.36 = 129.24/x
  3. Step 3: Cross multiply
    206.25x = 309.36 × 129.24
  4. Step 4: Simplify right side
    206.25x = 39,981.69
  5. Step 5: Solve for x
    x = 39,981.69/206.25
  6. Step 6: Final answer
    x = 193.85

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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.