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Finding the Fourth Proportional to 296.16, 443.25 and 197.01

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Solution

The fourth proportional to 296.16, 443.25 and 197.01 is: 294.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.16 : 443.25 = 197.01 : x
  2. Step 2: Convert to fraction form
    296.16/443.25 = 197.01/x
  3. Step 3: Cross multiply
    296.16x = 443.25 × 197.01
  4. Step 4: Simplify right side
    296.16x = 87,324.68
  5. Step 5: Solve for x
    x = 87,324.68/296.16
  6. Step 6: Final answer
    x = 294.86

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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.