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Finding the Fourth Proportional to 217.84, 300.70 and 144.22

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Solution

The fourth proportional to 217.84, 300.70 and 144.22 is: 199.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.84 : 300.70 = 144.22 : x
  2. Step 2: Convert to fraction form
    217.84/300.70 = 144.22/x
  3. Step 3: Cross multiply
    217.84x = 300.70 × 144.22
  4. Step 4: Simplify right side
    217.84x = 43,366.95
  5. Step 5: Solve for x
    x = 43,366.95/217.84
  6. Step 6: Final answer
    x = 199.08

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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.