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Finding the Fourth Proportional to 219.21, 329.02 and 116.58

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Solution

The fourth proportional to 219.21, 329.02 and 116.58 is: 174.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.21 : 329.02 = 116.58 : x
  2. Step 2: Convert to fraction form
    219.21/329.02 = 116.58/x
  3. Step 3: Cross multiply
    219.21x = 329.02 × 116.58
  4. Step 4: Simplify right side
    219.21x = 38,357.94
  5. Step 5: Solve for x
    x = 38,357.94/219.21
  6. Step 6: Final answer
    x = 174.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.