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Finding the Fourth Proportional to 197.98, 295.01 and 176.44

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Solution

The fourth proportional to 197.98, 295.01 and 176.44 is: 262.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.98 : 295.01 = 176.44 : x
  2. Step 2: Convert to fraction form
    197.98/295.01 = 176.44/x
  3. Step 3: Cross multiply
    197.98x = 295.01 × 176.44
  4. Step 4: Simplify right side
    197.98x = 52,051.56
  5. Step 5: Solve for x
    x = 52,051.56/197.98
  6. Step 6: Final answer
    x = 262.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.