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Finding the Fourth Proportional to 219.90, 330.16 and 111.77

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Solution

The fourth proportional to 219.90, 330.16 and 111.77 is: 167.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.90 : 330.16 = 111.77 : x
  2. Step 2: Convert to fraction form
    219.90/330.16 = 111.77/x
  3. Step 3: Cross multiply
    219.90x = 330.16 × 111.77
  4. Step 4: Simplify right side
    219.90x = 36,901.98
  5. Step 5: Solve for x
    x = 36,901.98/219.90
  6. Step 6: Final answer
    x = 167.81

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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.