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Finding the Fourth Proportional to 237.62, 327.72 and 167.60

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Solution

The fourth proportional to 237.62, 327.72 and 167.60 is: 231.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.62 : 327.72 = 167.60 : x
  2. Step 2: Convert to fraction form
    237.62/327.72 = 167.60/x
  3. Step 3: Cross multiply
    237.62x = 327.72 × 167.60
  4. Step 4: Simplify right side
    237.62x = 54,925.87
  5. Step 5: Solve for x
    x = 54,925.87/237.62
  6. Step 6: Final answer
    x = 231.15

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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.