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Finding the Fourth Proportional to 203.23, 304.26 and 181.45

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Solution

The fourth proportional to 203.23, 304.26 and 181.45 is: 271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.23 : 304.26 = 181.45 : x
  2. Step 2: Convert to fraction form
    203.23/304.26 = 181.45/x
  3. Step 3: Cross multiply
    203.23x = 304.26 × 181.45
  4. Step 4: Simplify right side
    203.23x = 55,207.98
  5. Step 5: Solve for x
    x = 55,207.98/203.23
  6. Step 6: Final answer
    x = 271.65

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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.