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Finding the Fourth Proportional to 199.53, 274.98 and 144.17

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Solution

The fourth proportional to 199.53, 274.98 and 144.17 is: 198.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.53 : 274.98 = 144.17 : x
  2. Step 2: Convert to fraction form
    199.53/274.98 = 144.17/x
  3. Step 3: Cross multiply
    199.53x = 274.98 × 144.17
  4. Step 4: Simplify right side
    199.53x = 39,644.03
  5. Step 5: Solve for x
    x = 39,644.03/199.53
  6. Step 6: Final answer
    x = 198.69

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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.