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Finding the Fourth Proportional to 221.02, 330.93 and 152.20

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Solution

The fourth proportional to 221.02, 330.93 and 152.20 is: 227.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.02 : 330.93 = 152.20 : x
  2. Step 2: Convert to fraction form
    221.02/330.93 = 152.20/x
  3. Step 3: Cross multiply
    221.02x = 330.93 × 152.20
  4. Step 4: Simplify right side
    221.02x = 50,367.55
  5. Step 5: Solve for x
    x = 50,367.55/221.02
  6. Step 6: Final answer
    x = 227.89

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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.