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Finding the Fourth Proportional to 221.36, 331.63 and 152.64

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Solution

The fourth proportional to 221.36, 331.63 and 152.64 is: 228.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.36 : 331.63 = 152.64 : x
  2. Step 2: Convert to fraction form
    221.36/331.63 = 152.64/x
  3. Step 3: Cross multiply
    221.36x = 331.63 × 152.64
  4. Step 4: Simplify right side
    221.36x = 50,619.62
  5. Step 5: Solve for x
    x = 50,619.62/221.36
  6. Step 6: Final answer
    x = 228.68

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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.