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Finding the Fourth Proportional to 288.78, 398.56 and 178.22

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Solution

The fourth proportional to 288.78, 398.56 and 178.22 is: 245.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.78 : 398.56 = 178.22 : x
  2. Step 2: Convert to fraction form
    288.78/398.56 = 178.22/x
  3. Step 3: Cross multiply
    288.78x = 398.56 × 178.22
  4. Step 4: Simplify right side
    288.78x = 71,031.36
  5. Step 5: Solve for x
    x = 71,031.36/288.78
  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.