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Finding the Fourth Proportional to 245.44, 368.20 and 197.92

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Solution

The fourth proportional to 245.44, 368.20 and 197.92 is: 296.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.44 : 368.20 = 197.92 : x
  2. Step 2: Convert to fraction form
    245.44/368.20 = 197.92/x
  3. Step 3: Cross multiply
    245.44x = 368.20 × 197.92
  4. Step 4: Simplify right side
    245.44x = 72,874.14
  5. Step 5: Solve for x
    x = 72,874.14/245.44
  6. Step 6: Final answer
    x = 296.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.