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Finding the Fourth Proportional to 237.78, 327.69 and 179.46

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Solution

The fourth proportional to 237.78, 327.69 and 179.46 is: 247.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.78 : 327.69 = 179.46 : x
  2. Step 2: Convert to fraction form
    237.78/327.69 = 179.46/x
  3. Step 3: Cross multiply
    237.78x = 327.69 × 179.46
  4. Step 4: Simplify right side
    237.78x = 58,807.25
  5. Step 5: Solve for x
    x = 58,807.25/237.78
  6. Step 6: Final answer
    x = 247.32

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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.