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Finding the Fourth Proportional to 196.98, 295.46 and 88.77

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Solution

The fourth proportional to 196.98, 295.46 and 88.77 is: 133.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.98 : 295.46 = 88.77 : x
  2. Step 2: Convert to fraction form
    196.98/295.46 = 88.77/x
  3. Step 3: Cross multiply
    196.98x = 295.46 × 88.77
  4. Step 4: Simplify right side
    196.98x = 26,227.54
  5. Step 5: Solve for x
    x = 26,227.54/196.98
  6. Step 6: Final answer
    x = 133.15

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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.