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Finding the Fourth Proportional to 237.63, 327.72 and 178.62

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Solution

The fourth proportional to 237.63, 327.72 and 178.62 is: 246.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.63 : 327.72 = 178.62 : x
  2. Step 2: Convert to fraction form
    237.63/327.72 = 178.62/x
  3. Step 3: Cross multiply
    237.63x = 327.72 × 178.62
  4. Step 4: Simplify right side
    237.63x = 58,537.35
  5. Step 5: Solve for x
    x = 58,537.35/237.63
  6. Step 6: Final answer
    x = 246.34

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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.