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Finding the Fourth Proportional to 219.77, 329.55 and 104.18

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Solution

The fourth proportional to 219.77, 329.55 and 104.18 is: 156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.77 : 329.55 = 104.18 : x
  2. Step 2: Convert to fraction form
    219.77/329.55 = 104.18/x
  3. Step 3: Cross multiply
    219.77x = 329.55 × 104.18
  4. Step 4: Simplify right side
    219.77x = 34,330.87
  5. Step 5: Solve for x
    x = 34,330.87/219.77
  6. Step 6: Final answer
    x = 156.22

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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.