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Finding the Fourth Proportional to 442.01, 662.97 and 181.83

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Solution

The fourth proportional to 442.01, 662.97 and 181.83 is: 272.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.01 : 662.97 = 181.83 : x
  2. Step 2: Convert to fraction form
    442.01/662.97 = 181.83/x
  3. Step 3: Cross multiply
    442.01x = 662.97 × 181.83
  4. Step 4: Simplify right side
    442.01x = 120,547.84
  5. Step 5: Solve for x
    x = 120,547.84/442.01
  6. Step 6: Final answer
    x = 272.73

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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.