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Finding the Fourth Proportional to 288.27, 397.77 and 170.28

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Solution

The fourth proportional to 288.27, 397.77 and 170.28 is: 234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.27 : 397.77 = 170.28 : x
  2. Step 2: Convert to fraction form
    288.27/397.77 = 170.28/x
  3. Step 3: Cross multiply
    288.27x = 397.77 × 170.28
  4. Step 4: Simplify right side
    288.27x = 67,732.28
  5. Step 5: Solve for x
    x = 67,732.28/288.27
  6. Step 6: Final answer
    x = 234.96

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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.