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Finding the Fourth Proportional to 206.01, 284.26 and 127.33

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Solution

The fourth proportional to 206.01, 284.26 and 127.33 is: 175.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.01 : 284.26 = 127.33 : x
  2. Step 2: Convert to fraction form
    206.01/284.26 = 127.33/x
  3. Step 3: Cross multiply
    206.01x = 284.26 × 127.33
  4. Step 4: Simplify right side
    206.01x = 36,192.77
  5. Step 5: Solve for x
    x = 36,192.77/206.01
  6. Step 6: Final answer
    x = 175.68

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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.