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Finding the Fourth Proportional to 197.24, 294.15 and 182.84

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Solution

The fourth proportional to 197.24, 294.15 and 182.84 is: 272.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.24 : 294.15 = 182.84 : x
  2. Step 2: Convert to fraction form
    197.24/294.15 = 182.84/x
  3. Step 3: Cross multiply
    197.24x = 294.15 × 182.84
  4. Step 4: Simplify right side
    197.24x = 53,782.39
  5. Step 5: Solve for x
    x = 53,782.39/197.24
  6. Step 6: Final answer
    x = 272.67

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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.