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Finding the Fourth Proportional to 219.90, 330.10 and 128.66

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Solution

The fourth proportional to 219.90, 330.10 and 128.66 is: 193.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.90 : 330.10 = 128.66 : x
  2. Step 2: Convert to fraction form
    219.90/330.10 = 128.66/x
  3. Step 3: Cross multiply
    219.90x = 330.10 × 128.66
  4. Step 4: Simplify right side
    219.90x = 42,470.25
  5. Step 5: Solve for x
    x = 42,470.25/219.90
  6. Step 6: Final answer
    x = 193.14

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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.