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Finding the Fourth Proportional to 197.86, 295.14 and 183.32

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Solution

The fourth proportional to 197.86, 295.14 and 183.32 is: 273.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.86 : 295.14 = 183.32 : x
  2. Step 2: Convert to fraction form
    197.86/295.14 = 183.32/x
  3. Step 3: Cross multiply
    197.86x = 295.14 × 183.32
  4. Step 4: Simplify right side
    197.86x = 54,105.06
  5. Step 5: Solve for x
    x = 54,105.06/197.86
  6. Step 6: Final answer
    x = 273.45

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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.