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Finding the Fourth Proportional to 304.95, 456.28 and 181.10

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Solution

The fourth proportional to 304.95, 456.28 and 181.10 is: 270.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.95 : 456.28 = 181.10 : x
  2. Step 2: Convert to fraction form
    304.95/456.28 = 181.10/x
  3. Step 3: Cross multiply
    304.95x = 456.28 × 181.10
  4. Step 4: Simplify right side
    304.95x = 82,632.31
  5. Step 5: Solve for x
    x = 82,632.31/304.95
  6. Step 6: Final answer
    x = 270.97

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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.