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Finding the Fourth Proportional to 197.04, 270.41 and 178.58

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Solution

The fourth proportional to 197.04, 270.41 and 178.58 is: 245.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.04 : 270.41 = 178.58 : x
  2. Step 2: Convert to fraction form
    197.04/270.41 = 178.58/x
  3. Step 3: Cross multiply
    197.04x = 270.41 × 178.58
  4. Step 4: Simplify right side
    197.04x = 48,289.82
  5. Step 5: Solve for x
    x = 48,289.82/197.04
  6. Step 6: Final answer
    x = 245.08

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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.