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Finding the Fourth Proportional to 290.14, 400.52 and 197.02

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Solution

The fourth proportional to 290.14, 400.52 and 197.02 is: 271.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.14 : 400.52 = 197.02 : x
  2. Step 2: Convert to fraction form
    290.14/400.52 = 197.02/x
  3. Step 3: Cross multiply
    290.14x = 400.52 × 197.02
  4. Step 4: Simplify right side
    290.14x = 78,910.45
  5. Step 5: Solve for x
    x = 78,910.45/290.14
  6. Step 6: Final answer
    x = 271.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.