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Finding the Fourth Proportional to 196.80, 295.31 and 75.06

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Solution

The fourth proportional to 196.80, 295.31 and 75.06 is: 112.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.80 : 295.31 = 75.06 : x
  2. Step 2: Convert to fraction form
    196.80/295.31 = 75.06/x
  3. Step 3: Cross multiply
    196.80x = 295.31 × 75.06
  4. Step 4: Simplify right side
    196.80x = 22,166.16
  5. Step 5: Solve for x
    x = 22,166.16/196.80
  6. Step 6: Final answer
    x = 112.64

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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.