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Finding the Fourth Proportional to 206.21, 284.62 and 123.37

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Solution

The fourth proportional to 206.21, 284.62 and 123.37 is: 170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.21 : 284.62 = 123.37 : x
  2. Step 2: Convert to fraction form
    206.21/284.62 = 123.37/x
  3. Step 3: Cross multiply
    206.21x = 284.62 × 123.37
  4. Step 4: Simplify right side
    206.21x = 35,113.57
  5. Step 5: Solve for x
    x = 35,113.57/206.21
  6. Step 6: Final answer
    x = 170.28

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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.