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Finding the Fourth Proportional to 220.70, 330.60 and 180.20

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Solution

The fourth proportional to 220.70, 330.60 and 180.20 is: 269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.70 : 330.60 = 180.20 : x
  2. Step 2: Convert to fraction form
    220.70/330.60 = 180.20/x
  3. Step 3: Cross multiply
    220.70x = 330.60 × 180.20
  4. Step 4: Simplify right side
    220.70x = 59,574.12
  5. Step 5: Solve for x
    x = 59,574.12/220.70
  6. Step 6: Final answer
    x = 269.93

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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.