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Finding the Fourth Proportional to 206.06, 309.24 and 114.83

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Solution

The fourth proportional to 206.06, 309.24 and 114.83 is: 172.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.06 : 309.24 = 114.83 : x
  2. Step 2: Convert to fraction form
    206.06/309.24 = 114.83/x
  3. Step 3: Cross multiply
    206.06x = 309.24 × 114.83
  4. Step 4: Simplify right side
    206.06x = 35,509.64
  5. Step 5: Solve for x
    x = 35,509.64/206.06
  6. Step 6: Final answer
    x = 172.33

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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.