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Finding the Fourth Proportional to 206.14, 284.34 and 123.24

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Solution

The fourth proportional to 206.14, 284.34 and 123.24 is: 169.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.14 : 284.34 = 123.24 : x
  2. Step 2: Convert to fraction form
    206.14/284.34 = 123.24/x
  3. Step 3: Cross multiply
    206.14x = 284.34 × 123.24
  4. Step 4: Simplify right side
    206.14x = 35,042.06
  5. Step 5: Solve for x
    x = 35,042.06/206.14
  6. Step 6: Final answer
    x = 169.99

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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.