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Finding the Fourth Proportional to 237.20, 327.42 and 148.64

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Solution

The fourth proportional to 237.20, 327.42 and 148.64 is: 205.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.20 : 327.42 = 148.64 : x
  2. Step 2: Convert to fraction form
    237.20/327.42 = 148.64/x
  3. Step 3: Cross multiply
    237.20x = 327.42 × 148.64
  4. Step 4: Simplify right side
    237.20x = 48,667.71
  5. Step 5: Solve for x
    x = 48,667.71/237.20
  6. Step 6: Final answer
    x = 205.18

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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.