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Finding the Fourth Proportional to 237.60, 327.88 and 167.58

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Solution

The fourth proportional to 237.60, 327.88 and 167.58 is: 231.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.60 : 327.88 = 167.58 : x
  2. Step 2: Convert to fraction form
    237.60/327.88 = 167.58/x
  3. Step 3: Cross multiply
    237.60x = 327.88 × 167.58
  4. Step 4: Simplify right side
    237.60x = 54,946.13
  5. Step 5: Solve for x
    x = 54,946.13/237.60
  6. Step 6: Final answer
    x = 231.25

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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.