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Finding the Fourth Proportional to 220.13, 328.52 and 205.46

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Solution

The fourth proportional to 220.13, 328.52 and 205.46 is: 306.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.13 : 328.52 = 205.46 : x
  2. Step 2: Convert to fraction form
    220.13/328.52 = 205.46/x
  3. Step 3: Cross multiply
    220.13x = 328.52 × 205.46
  4. Step 4: Simplify right side
    220.13x = 67,495.05
  5. Step 5: Solve for x
    x = 67,495.05/220.13
  6. Step 6: Final answer
    x = 306.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.