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Finding the Fourth Proportional to 237.64, 327.74 and 150.16

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Solution

The fourth proportional to 237.64, 327.74 and 150.16 is: 207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.64 : 327.74 = 150.16 : x
  2. Step 2: Convert to fraction form
    237.64/327.74 = 150.16/x
  3. Step 3: Cross multiply
    237.64x = 327.74 × 150.16
  4. Step 4: Simplify right side
    237.64x = 49,213.44
  5. Step 5: Solve for x
    x = 49,213.44/237.64
  6. Step 6: Final answer
    x = 207.09

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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.