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Finding the Fourth Proportional to 206.21, 284.57 and 117.70

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Solution

The fourth proportional to 206.21, 284.57 and 117.70 is: 162.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.21 : 284.57 = 117.70 : x
  2. Step 2: Convert to fraction form
    206.21/284.57 = 117.70/x
  3. Step 3: Cross multiply
    206.21x = 284.57 × 117.70
  4. Step 4: Simplify right side
    206.21x = 33,493.03
  5. Step 5: Solve for x
    x = 33,493.03/206.21
  6. Step 6: Final answer
    x = 162.42

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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.