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Finding the Fourth Proportional to 219.70, 329.54 and 116.94

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Solution

The fourth proportional to 219.70, 329.54 and 116.94 is: 175.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.70 : 329.54 = 116.94 : x
  2. Step 2: Convert to fraction form
    219.70/329.54 = 116.94/x
  3. Step 3: Cross multiply
    219.70x = 329.54 × 116.94
  4. Step 4: Simplify right side
    219.70x = 38,536.41
  5. Step 5: Solve for x
    x = 38,536.41/219.70
  6. Step 6: Final answer
    x = 175.40

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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.