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Finding the Fourth Proportional to 197.83, 295.93 and 188.11

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Solution

The fourth proportional to 197.83, 295.93 and 188.11 is: 281.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.83 : 295.93 = 188.11 : x
  2. Step 2: Convert to fraction form
    197.83/295.93 = 188.11/x
  3. Step 3: Cross multiply
    197.83x = 295.93 × 188.11
  4. Step 4: Simplify right side
    197.83x = 55,667.39
  5. Step 5: Solve for x
    x = 55,667.39/197.83
  6. Step 6: Final answer
    x = 281.39

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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.