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Finding the Fourth Proportional to 197.53, 295.83 and 99.87

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Solution

The fourth proportional to 197.53, 295.83 and 99.87 is: 149.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.53 : 295.83 = 99.87 : x
  2. Step 2: Convert to fraction form
    197.53/295.83 = 99.87/x
  3. Step 3: Cross multiply
    197.53x = 295.83 × 99.87
  4. Step 4: Simplify right side
    197.53x = 29,543.43
  5. Step 5: Solve for x
    x = 29,543.43/197.53
  6. Step 6: Final answer
    x = 149.57

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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.