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Finding the Fourth Proportional to 197.08, 295.04 and 180.44

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Solution

The fourth proportional to 197.08, 295.04 and 180.44 is: 270.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.08 : 295.04 = 180.44 : x
  2. Step 2: Convert to fraction form
    197.08/295.04 = 180.44/x
  3. Step 3: Cross multiply
    197.08x = 295.04 × 180.44
  4. Step 4: Simplify right side
    197.08x = 53,237.02
  5. Step 5: Solve for x
    x = 53,237.02/197.08
  6. Step 6: Final answer
    x = 270.13

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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.