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Finding the Fourth Proportional to 304.82, 456.77 and 181.18

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Solution

The fourth proportional to 304.82, 456.77 and 181.18 is: 271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.82 : 456.77 = 181.18 : x
  2. Step 2: Convert to fraction form
    304.82/456.77 = 181.18/x
  3. Step 3: Cross multiply
    304.82x = 456.77 × 181.18
  4. Step 4: Simplify right side
    304.82x = 82,754.40
  5. Step 5: Solve for x
    x = 82,754.40/304.82
  6. Step 6: Final answer
    x = 271.49

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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.