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Finding the Fourth Proportional to 290.08, 400.46 and 197.31

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Solution

The fourth proportional to 290.08, 400.46 and 197.31 is: 272.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.08 : 400.46 = 197.31 : x
  2. Step 2: Convert to fraction form
    290.08/400.46 = 197.31/x
  3. Step 3: Cross multiply
    290.08x = 400.46 × 197.31
  4. Step 4: Simplify right side
    290.08x = 79,014.76
  5. Step 5: Solve for x
    x = 79,014.76/290.08
  6. Step 6: Final answer
    x = 272.39

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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.