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Finding the Fourth Proportional to 221.54, 304.84 and 166.10

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Solution

The fourth proportional to 221.54, 304.84 and 166.10 is: 228.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.54 : 304.84 = 166.10 : x
  2. Step 2: Convert to fraction form
    221.54/304.84 = 166.10/x
  3. Step 3: Cross multiply
    221.54x = 304.84 × 166.10
  4. Step 4: Simplify right side
    221.54x = 50,631.98
  5. Step 5: Solve for x
    x = 50,631.98/221.54
  6. Step 6: Final answer
    x = 228.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.