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Finding the Fourth Proportional to 237.60, 327.86 and 144.36

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Solution

The fourth proportional to 237.60, 327.86 and 144.36 is: 199.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.60 : 327.86 = 144.36 : x
  2. Step 2: Convert to fraction form
    237.60/327.86 = 144.36/x
  3. Step 3: Cross multiply
    237.60x = 327.86 × 144.36
  4. Step 4: Simplify right side
    237.60x = 47,329.15
  5. Step 5: Solve for x
    x = 47,329.15/237.60
  6. Step 6: Final answer
    x = 199.20

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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.