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Finding the Fourth Proportional to 196.98, 295.41 and 135.87

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Solution

The fourth proportional to 196.98, 295.41 and 135.87 is: 203.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.98 : 295.41 = 135.87 : x
  2. Step 2: Convert to fraction form
    196.98/295.41 = 135.87/x
  3. Step 3: Cross multiply
    196.98x = 295.41 × 135.87
  4. Step 4: Simplify right side
    196.98x = 40,137.36
  5. Step 5: Solve for x
    x = 40,137.36/196.98
  6. Step 6: Final answer
    x = 203.76

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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.