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Finding the Fourth Proportional to 198.51, 274.08 and 136.44

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Solution

The fourth proportional to 198.51, 274.08 and 136.44 is: 188.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.51 : 274.08 = 136.44 : x
  2. Step 2: Convert to fraction form
    198.51/274.08 = 136.44/x
  3. Step 3: Cross multiply
    198.51x = 274.08 × 136.44
  4. Step 4: Simplify right side
    198.51x = 37,395.48
  5. Step 5: Solve for x
    x = 37,395.48/198.51
  6. Step 6: Final answer
    x = 188.38

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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.