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Finding the Fourth Proportional to 237.36, 327.72 and 148.88

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Solution

The fourth proportional to 237.36, 327.72 and 148.88 is: 205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.36 : 327.72 = 148.88 : x
  2. Step 2: Convert to fraction form
    237.36/327.72 = 148.88/x
  3. Step 3: Cross multiply
    237.36x = 327.72 × 148.88
  4. Step 4: Simplify right side
    237.36x = 48,790.95
  5. Step 5: Solve for x
    x = 48,790.95/237.36
  6. Step 6: Final answer
    x = 205.56

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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.