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Finding the Fourth Proportional to 221.03, 304.76 and 181.54

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Solution

The fourth proportional to 221.03, 304.76 and 181.54 is: 250.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.03 : 304.76 = 181.54 : x
  2. Step 2: Convert to fraction form
    221.03/304.76 = 181.54/x
  3. Step 3: Cross multiply
    221.03x = 304.76 × 181.54
  4. Step 4: Simplify right side
    221.03x = 55,326.97
  5. Step 5: Solve for x
    x = 55,326.97/221.03
  6. Step 6: Final answer
    x = 250.32

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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.