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Finding the Fourth Proportional to 237, 327.06 and 168.12

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Solution

The fourth proportional to 237, 327.06 and 168.12 is: 232.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    237 : 327.06 = 168.12 : x
  2. Step 2: Convert to fraction form
    237/327.06 = 168.12/x
  3. Step 3: Cross multiply
    237x = 327.06 × 168.12
  4. Step 4: Simplify right side
    237x = 54,985.33
  5. Step 5: Solve for x
    x = 54,985.33/237
  6. Step 6: Final answer
    x = 232.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.