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Finding the Fourth Proportional to 288.75, 398.51 and 178.22

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Solution

The fourth proportional to 288.75, 398.51 and 178.22 is: 245.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.75 : 398.51 = 178.22 : x
  2. Step 2: Convert to fraction form
    288.75/398.51 = 178.22/x
  3. Step 3: Cross multiply
    288.75x = 398.51 × 178.22
  4. Step 4: Simplify right side
    288.75x = 71,022.56
  5. Step 5: Solve for x
    x = 71,022.56/288.75
  6. Step 6: Final answer
    x = 245.97

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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.