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Finding the Fourth Proportional to 206.23, 284.56 and 123.38

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Solution

The fourth proportional to 206.23, 284.56 and 123.38 is: 170.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.23 : 284.56 = 123.38 : x
  2. Step 2: Convert to fraction form
    206.23/284.56 = 123.38/x
  3. Step 3: Cross multiply
    206.23x = 284.56 × 123.38
  4. Step 4: Simplify right side
    206.23x = 35,109.01
  5. Step 5: Solve for x
    x = 35,109.01/206.23
  6. Step 6: Final answer
    x = 170.24

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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.