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Finding the Fourth Proportional to 206.74, 285.26 and 118.22

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Solution

The fourth proportional to 206.74, 285.26 and 118.22 is: 163.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.74 : 285.26 = 118.22 : x
  2. Step 2: Convert to fraction form
    206.74/285.26 = 118.22/x
  3. Step 3: Cross multiply
    206.74x = 285.26 × 118.22
  4. Step 4: Simplify right side
    206.74x = 33,722.31
  5. Step 5: Solve for x
    x = 33,722.31/206.74
  6. Step 6: Final answer
    x = 163.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.