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Finding the Fourth Proportional to 327.60, 452.04 and 187.68

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Solution

The fourth proportional to 327.60, 452.04 and 187.68 is: 258.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.60 : 452.04 = 187.68 : x
  2. Step 2: Convert to fraction form
    327.60/452.04 = 187.68/x
  3. Step 3: Cross multiply
    327.60x = 452.04 × 187.68
  4. Step 4: Simplify right side
    327.60x = 84,838.87
  5. Step 5: Solve for x
    x = 84,838.87/327.60
  6. Step 6: Final answer
    x = 258.97

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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.