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Finding the Fourth Proportional to 197.13, 294.03 and 185.90

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Solution

The fourth proportional to 197.13, 294.03 and 185.90 is: 277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.13 : 294.03 = 185.90 : x
  2. Step 2: Convert to fraction form
    197.13/294.03 = 185.90/x
  3. Step 3: Cross multiply
    197.13x = 294.03 × 185.90
  4. Step 4: Simplify right side
    197.13x = 54,658.71
  5. Step 5: Solve for x
    x = 54,658.71/197.13
  6. Step 6: Final answer
    x = 277.27

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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.