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Finding the Fourth Proportional to 288.91, 398.22 and 178.14

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Solution

The fourth proportional to 288.91, 398.22 and 178.14 is: 245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.91 : 398.22 = 178.14 : x
  2. Step 2: Convert to fraction form
    288.91/398.22 = 178.14/x
  3. Step 3: Cross multiply
    288.91x = 398.22 × 178.14
  4. Step 4: Simplify right side
    288.91x = 70,938.91
  5. Step 5: Solve for x
    x = 70,938.91/288.91
  6. Step 6: Final answer
    x = 245.54

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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.