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Finding the Fourth Proportional to 237.61, 327.95 and 144.37

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Solution

The fourth proportional to 237.61, 327.95 and 144.37 is: 199.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.61 : 327.95 = 144.37 : x
  2. Step 2: Convert to fraction form
    237.61/327.95 = 144.37/x
  3. Step 3: Cross multiply
    237.61x = 327.95 × 144.37
  4. Step 4: Simplify right side
    237.61x = 47,346.14
  5. Step 5: Solve for x
    x = 47,346.14/237.61
  6. Step 6: Final answer
    x = 199.26

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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.