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Finding the Fourth Proportional to 206.46, 284.94 and 127.80

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Solution

The fourth proportional to 206.46, 284.94 and 127.80 is: 176.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.46 : 284.94 = 127.80 : x
  2. Step 2: Convert to fraction form
    206.46/284.94 = 127.80/x
  3. Step 3: Cross multiply
    206.46x = 284.94 × 127.80
  4. Step 4: Simplify right side
    206.46x = 36,415.33
  5. Step 5: Solve for x
    x = 36,415.33/206.46
  6. Step 6: Final answer
    x = 176.38

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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.