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Finding the Fourth Proportional to 196.74, 295.04 and 75.02

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Solution

The fourth proportional to 196.74, 295.04 and 75.02 is: 112.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.74 : 295.04 = 75.02 : x
  2. Step 2: Convert to fraction form
    196.74/295.04 = 75.02/x
  3. Step 3: Cross multiply
    196.74x = 295.04 × 75.02
  4. Step 4: Simplify right side
    196.74x = 22,132.05
  5. Step 5: Solve for x
    x = 22,132.05/196.74
  6. Step 6: Final answer
    x = 112.49

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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.