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Finding the Fourth Proportional to 221.27, 304.83 and 184.30

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Solution

The fourth proportional to 221.27, 304.83 and 184.30 is: 253.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.27 : 304.83 = 184.30 : x
  2. Step 2: Convert to fraction form
    221.27/304.83 = 184.30/x
  3. Step 3: Cross multiply
    221.27x = 304.83 × 184.30
  4. Step 4: Simplify right side
    221.27x = 56,179.41
  5. Step 5: Solve for x
    x = 56,179.41/221.27
  6. Step 6: Final answer
    x = 253.90

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Why These Related Problems?

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