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Finding the Fourth Proportional to 206.10, 284.42 and 123.27

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Solution

The fourth proportional to 206.10, 284.42 and 123.27 is: 170.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.10 : 284.42 = 123.27 : x
  2. Step 2: Convert to fraction form
    206.10/284.42 = 123.27/x
  3. Step 3: Cross multiply
    206.10x = 284.42 × 123.27
  4. Step 4: Simplify right side
    206.10x = 35,059.84
  5. Step 5: Solve for x
    x = 35,059.84/206.10
  6. Step 6: Final answer
    x = 170.11

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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.