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Finding the Fourth Proportional to 237.49, 327.57 and 178.63

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Solution

The fourth proportional to 237.49, 327.57 and 178.63 is: 246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.49 : 327.57 = 178.63 : x
  2. Step 2: Convert to fraction form
    237.49/327.57 = 178.63/x
  3. Step 3: Cross multiply
    237.49x = 327.57 × 178.63
  4. Step 4: Simplify right side
    237.49x = 58,513.83
  5. Step 5: Solve for x
    x = 58,513.83/237.49
  6. Step 6: Final answer
    x = 246.38

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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.