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Finding the Fourth Proportional to 197.14, 294.29 and 182.90

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Solution

The fourth proportional to 197.14, 294.29 and 182.90 is: 273.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.14 : 294.29 = 182.90 : x
  2. Step 2: Convert to fraction form
    197.14/294.29 = 182.90/x
  3. Step 3: Cross multiply
    197.14x = 294.29 × 182.90
  4. Step 4: Simplify right side
    197.14x = 53,825.64
  5. Step 5: Solve for x
    x = 53,825.64/197.14
  6. Step 6: Final answer
    x = 273.03

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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.