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Finding the Fourth Proportional to 237.47, 327.91 and 229.72

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Solution

The fourth proportional to 237.47, 327.91 and 229.72 is: 317.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.47 : 327.91 = 229.72 : x
  2. Step 2: Convert to fraction form
    237.47/327.91 = 229.72/x
  3. Step 3: Cross multiply
    237.47x = 327.91 × 229.72
  4. Step 4: Simplify right side
    237.47x = 75,327.49
  5. Step 5: Solve for x
    x = 75,327.49/237.47
  6. Step 6: Final answer
    x = 317.21

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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.