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Finding the Fourth Proportional to 288.82, 398.66 and 170.82

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Solution

The fourth proportional to 288.82, 398.66 and 170.82 is: 235.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.82 : 398.66 = 170.82 : x
  2. Step 2: Convert to fraction form
    288.82/398.66 = 170.82/x
  3. Step 3: Cross multiply
    288.82x = 398.66 × 170.82
  4. Step 4: Simplify right side
    288.82x = 68,099.10
  5. Step 5: Solve for x
    x = 68,099.10/288.82
  6. Step 6: Final answer
    x = 235.78

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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.