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Finding the Fourth Proportional to 220.31, 329.95 and 151.66

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Solution

The fourth proportional to 220.31, 329.95 and 151.66 is: 227.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.31 : 329.95 = 151.66 : x
  2. Step 2: Convert to fraction form
    220.31/329.95 = 151.66/x
  3. Step 3: Cross multiply
    220.31x = 329.95 × 151.66
  4. Step 4: Simplify right side
    220.31x = 50,040.22
  5. Step 5: Solve for x
    x = 50,040.22/220.31
  6. Step 6: Final answer
    x = 227.14

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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.