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Finding the Fourth Proportional to 237.02, 327.36 and 149.76

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Solution

The fourth proportional to 237.02, 327.36 and 149.76 is: 206.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.02 : 327.36 = 149.76 : x
  2. Step 2: Convert to fraction form
    237.02/327.36 = 149.76/x
  3. Step 3: Cross multiply
    237.02x = 327.36 × 149.76
  4. Step 4: Simplify right side
    237.02x = 49,025.43
  5. Step 5: Solve for x
    x = 49,025.43/237.02
  6. Step 6: Final answer
    x = 206.84

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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.