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Finding the Fourth Proportional to 220.90, 330.67 and 147.77

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Solution

The fourth proportional to 220.90, 330.67 and 147.77 is: 221.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.90 : 330.67 = 147.77 : x
  2. Step 2: Convert to fraction form
    220.90/330.67 = 147.77/x
  3. Step 3: Cross multiply
    220.90x = 330.67 × 147.77
  4. Step 4: Simplify right side
    220.90x = 48,864.53
  5. Step 5: Solve for x
    x = 48,864.53/220.90
  6. Step 6: Final answer
    x = 221.20

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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.