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Finding the Fourth Proportional to 303.06, 454.44 and 181.38

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Solution

The fourth proportional to 303.06, 454.44 and 181.38 is: 271.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.06 : 454.44 = 181.38 : x
  2. Step 2: Convert to fraction form
    303.06/454.44 = 181.38/x
  3. Step 3: Cross multiply
    303.06x = 454.44 × 181.38
  4. Step 4: Simplify right side
    303.06x = 82,426.33
  5. Step 5: Solve for x
    x = 82,426.33/303.06
  6. Step 6: Final answer
    x = 271.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.