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Finding the Fourth Proportional to 220.71, 330.97 and 152.27

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Solution

The fourth proportional to 220.71, 330.97 and 152.27 is: 228.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.71 : 330.97 = 152.27 : x
  2. Step 2: Convert to fraction form
    220.71/330.97 = 152.27/x
  3. Step 3: Cross multiply
    220.71x = 330.97 × 152.27
  4. Step 4: Simplify right side
    220.71x = 50,396.80
  5. Step 5: Solve for x
    x = 50,396.80/220.71
  6. Step 6: Final answer
    x = 228.34

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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.