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Finding the Fourth Proportional to 200.16, 299.76 and 127.80

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Solution

The fourth proportional to 200.16, 299.76 and 127.80 is: 191.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.16 : 299.76 = 127.80 : x
  2. Step 2: Convert to fraction form
    200.16/299.76 = 127.80/x
  3. Step 3: Cross multiply
    200.16x = 299.76 × 127.80
  4. Step 4: Simplify right side
    200.16x = 38,309.33
  5. Step 5: Solve for x
    x = 38,309.33/200.16
  6. Step 6: Final answer
    x = 191.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.