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Finding the Fourth Proportional to 219.71, 329.56 and 57.38

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Solution

The fourth proportional to 219.71, 329.56 and 57.38 is: 86.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.71 : 329.56 = 57.38 : x
  2. Step 2: Convert to fraction form
    219.71/329.56 = 57.38/x
  3. Step 3: Cross multiply
    219.71x = 329.56 × 57.38
  4. Step 4: Simplify right side
    219.71x = 18,908.36
  5. Step 5: Solve for x
    x = 18,908.36/219.71
  6. Step 6: Final answer
    x = 86.06

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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.