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Finding the Fourth Proportional to 206.06, 309.18 and 114.66

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Solution

The fourth proportional to 206.06, 309.18 and 114.66 is: 172.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.06 : 309.18 = 114.66 : x
  2. Step 2: Convert to fraction form
    206.06/309.18 = 114.66/x
  3. Step 3: Cross multiply
    206.06x = 309.18 × 114.66
  4. Step 4: Simplify right side
    206.06x = 35,450.58
  5. Step 5: Solve for x
    x = 35,450.58/206.06
  6. Step 6: Final answer
    x = 172.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.