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Finding the Fourth Proportional to 197.32, 295.66 and 101

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Solution

The fourth proportional to 197.32, 295.66 and 101 is: 151.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.32 : 295.66 = 101 : x
  2. Step 2: Convert to fraction form
    197.32/295.66 = 101/x
  3. Step 3: Cross multiply
    197.32x = 295.66 × 101
  4. Step 4: Simplify right side
    197.32x = 29,861.66
  5. Step 5: Solve for x
    x = 29,861.66/197.32
  6. Step 6: Final answer
    x = 151.34

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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.