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Finding the Fourth Proportional to 218.70, 327.60 and 178.20

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Solution

The fourth proportional to 218.70, 327.60 and 178.20 is: 266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.70 : 327.60 = 178.20 : x
  2. Step 2: Convert to fraction form
    218.70/327.60 = 178.20/x
  3. Step 3: Cross multiply
    218.70x = 327.60 × 178.20
  4. Step 4: Simplify right side
    218.70x = 58,378.32
  5. Step 5: Solve for x
    x = 58,378.32/218.70
  6. Step 6: Final answer
    x = 266.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.