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Finding the Fourth Proportional to 136.65, 206.22 and 136.65

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Solution

The fourth proportional to 136.65, 206.22 and 136.65 is: 206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.65 : 206.22 = 136.65 : x
  2. Step 2: Convert to fraction form
    136.65/206.22 = 136.65/x
  3. Step 3: Cross multiply
    136.65x = 206.22 × 136.65
  4. Step 4: Simplify right side
    136.65x = 28,179.96
  5. Step 5: Solve for x
    x = 28,179.96/136.65
  6. Step 6: Final answer
    x = 206.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.