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Finding the Fourth Proportional to 196.98, 295.02 and 172.68

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Solution

The fourth proportional to 196.98, 295.02 and 172.68 is: 258.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.98 : 295.02 = 172.68 : x
  2. Step 2: Convert to fraction form
    196.98/295.02 = 172.68/x
  3. Step 3: Cross multiply
    196.98x = 295.02 × 172.68
  4. Step 4: Simplify right side
    196.98x = 50,943.19
  5. Step 5: Solve for x
    x = 50,943.19/196.98
  6. Step 6: Final answer
    x = 258.62

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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.