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Finding the Fourth Proportional to 219.98, 330.24 and 139.16

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Solution

The fourth proportional to 219.98, 330.24 and 139.16 is: 208.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.98 : 330.24 = 139.16 : x
  2. Step 2: Convert to fraction form
    219.98/330.24 = 139.16/x
  3. Step 3: Cross multiply
    219.98x = 330.24 × 139.16
  4. Step 4: Simplify right side
    219.98x = 45,957.55
  5. Step 5: Solve for x
    x = 45,957.55/219.98
  6. Step 6: Final answer
    x = 208.91

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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.