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Finding the Fourth Proportional to 288.46, 398.22 and 178.06

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Solution

The fourth proportional to 288.46, 398.22 and 178.06 is: 245.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.46 : 398.22 = 178.06 : x
  2. Step 2: Convert to fraction form
    288.46/398.22 = 178.06/x
  3. Step 3: Cross multiply
    288.46x = 398.22 × 178.06
  4. Step 4: Simplify right side
    288.46x = 70,907.05
  5. Step 5: Solve for x
    x = 70,907.05/288.46
  6. Step 6: Final answer
    x = 245.81

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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.