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Finding the Fourth Proportional to 206.49, 284.94 and 123.55

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Solution

The fourth proportional to 206.49, 284.94 and 123.55 is: 170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.49 : 284.94 = 123.55 : x
  2. Step 2: Convert to fraction form
    206.49/284.94 = 123.55/x
  3. Step 3: Cross multiply
    206.49x = 284.94 × 123.55
  4. Step 4: Simplify right side
    206.49x = 35,203.22
  5. Step 5: Solve for x
    x = 35,203.22/206.49
  6. Step 6: Final answer
    x = 170.49

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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.