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Finding the Fourth Proportional to 218.69, 327.95 and 74.42

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Solution

The fourth proportional to 218.69, 327.95 and 74.42 is: 111.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.69 : 327.95 = 74.42 : x
  2. Step 2: Convert to fraction form
    218.69/327.95 = 74.42/x
  3. Step 3: Cross multiply
    218.69x = 327.95 × 74.42
  4. Step 4: Simplify right side
    218.69x = 24,405.67
  5. Step 5: Solve for x
    x = 24,405.67/218.69
  6. Step 6: Final answer
    x = 111.60

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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.