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Finding the Fourth Proportional to 290.12, 400.46 and 197.17

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Solution

The fourth proportional to 290.12, 400.46 and 197.17 is: 272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.12 : 400.46 = 197.17 : x
  2. Step 2: Convert to fraction form
    290.12/400.46 = 197.17/x
  3. Step 3: Cross multiply
    290.12x = 400.46 × 197.17
  4. Step 4: Simplify right side
    290.12x = 78,956.71
  5. Step 5: Solve for x
    x = 78,956.71/290.12
  6. Step 6: Final answer
    x = 272.16

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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.