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Finding the Fourth Proportional to 237.63, 327.94 and 149.16

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Solution

The fourth proportional to 237.63, 327.94 and 149.16 is: 205.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.63 : 327.94 = 149.16 : x
  2. Step 2: Convert to fraction form
    237.63/327.94 = 149.16/x
  3. Step 3: Cross multiply
    237.63x = 327.94 × 149.16
  4. Step 4: Simplify right side
    237.63x = 48,915.53
  5. Step 5: Solve for x
    x = 48,915.53/237.63
  6. Step 6: Final answer
    x = 205.85

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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.