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Finding the Fourth Proportional to 197.02, 270.56 and 175.18

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Solution

The fourth proportional to 197.02, 270.56 and 175.18 is: 240.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.02 : 270.56 = 175.18 : x
  2. Step 2: Convert to fraction form
    197.02/270.56 = 175.18/x
  3. Step 3: Cross multiply
    197.02x = 270.56 × 175.18
  4. Step 4: Simplify right side
    197.02x = 47,396.70
  5. Step 5: Solve for x
    x = 47,396.70/197.02
  6. Step 6: Final answer
    x = 240.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.