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Finding the Fourth Proportional to 181.96, 248.89 and 179.13

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Solution

The fourth proportional to 181.96, 248.89 and 179.13 is: 245.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.96 : 248.89 = 179.13 : x
  2. Step 2: Convert to fraction form
    181.96/248.89 = 179.13/x
  3. Step 3: Cross multiply
    181.96x = 248.89 × 179.13
  4. Step 4: Simplify right side
    181.96x = 44,581.95
  5. Step 5: Solve for x
    x = 44,581.95/181.96
  6. Step 6: Final answer
    x = 245.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.