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Finding the Fourth Proportional to 288.25, 397.42 and 194.83

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Solution

The fourth proportional to 288.25, 397.42 and 194.83 is: 268.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.25 : 397.42 = 194.83 : x
  2. Step 2: Convert to fraction form
    288.25/397.42 = 194.83/x
  3. Step 3: Cross multiply
    288.25x = 397.42 × 194.83
  4. Step 4: Simplify right side
    288.25x = 77,427.86
  5. Step 5: Solve for x
    x = 77,427.86/288.25
  6. Step 6: Final answer
    x = 268.62

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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.