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Finding the Fourth Proportional to 220.30, 330.14 and 179.80

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Solution

The fourth proportional to 220.30, 330.14 and 179.80 is: 269.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.30 : 330.14 = 179.80 : x
  2. Step 2: Convert to fraction form
    220.30/330.14 = 179.80/x
  3. Step 3: Cross multiply
    220.30x = 330.14 × 179.80
  4. Step 4: Simplify right side
    220.30x = 59,359.17
  5. Step 5: Solve for x
    x = 59,359.17/220.30
  6. Step 6: Final answer
    x = 269.45

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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.