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Finding the Fourth Proportional to 206.26, 284.62 and 117.74

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Solution

The fourth proportional to 206.26, 284.62 and 117.74 is: 162.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.26 : 284.62 = 117.74 : x
  2. Step 2: Convert to fraction form
    206.26/284.62 = 117.74/x
  3. Step 3: Cross multiply
    206.26x = 284.62 × 117.74
  4. Step 4: Simplify right side
    206.26x = 33,511.16
  5. Step 5: Solve for x
    x = 33,511.16/206.26
  6. Step 6: Final answer
    x = 162.47

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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.