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Finding the Fourth Proportional to 199.88, 276.00 and 144.80

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Solution

The fourth proportional to 199.88, 276.00 and 144.80 is: 199.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.88 : 276.00 = 144.80 : x
  2. Step 2: Convert to fraction form
    199.88/276.00 = 144.80/x
  3. Step 3: Cross multiply
    199.88x = 276.00 × 144.80
  4. Step 4: Simplify right side
    199.88x = 39,963.91
  5. Step 5: Solve for x
    x = 39,963.91/199.88
  6. Step 6: Final answer
    x = 199.94

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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.