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Finding the Fourth Proportional to 219.40, 329.07 and 57.10

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Solution

The fourth proportional to 219.40, 329.07 and 57.10 is: 85.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.40 : 329.07 = 57.10 : x
  2. Step 2: Convert to fraction form
    219.40/329.07 = 57.10/x
  3. Step 3: Cross multiply
    219.40x = 329.07 × 57.10
  4. Step 4: Simplify right side
    219.40x = 18,789.07
  5. Step 5: Solve for x
    x = 18,789.07/219.40
  6. Step 6: Final answer
    x = 85.64

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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.