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Finding the Fourth Proportional to 288.44, 398.16 and 178

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Solution

The fourth proportional to 288.44, 398.16 and 178 is: 245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.44 : 398.16 = 178 : x
  2. Step 2: Convert to fraction form
    288.44/398.16 = 178/x
  3. Step 3: Cross multiply
    288.44x = 398.16 × 178
  4. Step 4: Simplify right side
    288.44x = 70,872.48
  5. Step 5: Solve for x
    x = 70,872.48/288.44
  6. Step 6: Final answer
    x = 245.71

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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.