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Finding the Fourth Proportional to 197.52, 295.86 and 182.40

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Solution

The fourth proportional to 197.52, 295.86 and 182.40 is: 273.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.52 : 295.86 = 182.40 : x
  2. Step 2: Convert to fraction form
    197.52/295.86 = 182.40/x
  3. Step 3: Cross multiply
    197.52x = 295.86 × 182.40
  4. Step 4: Simplify right side
    197.52x = 53,964.86
  5. Step 5: Solve for x
    x = 53,964.86/197.52
  6. Step 6: Final answer
    x = 273.21

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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.