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Finding the Fourth Proportional to 217.98, 300.71 and 139.28

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Solution

The fourth proportional to 217.98, 300.71 and 139.28 is: 192.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.98 : 300.71 = 139.28 : x
  2. Step 2: Convert to fraction form
    217.98/300.71 = 139.28/x
  3. Step 3: Cross multiply
    217.98x = 300.71 × 139.28
  4. Step 4: Simplify right side
    217.98x = 41,881.73
  5. Step 5: Solve for x
    x = 41,881.73/217.98
  6. Step 6: Final answer
    x = 192.14

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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.