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Finding the Fourth Proportional to 181.83, 250.54 and 177.28

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Solution

The fourth proportional to 181.83, 250.54 and 177.28 is: 244.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.83 : 250.54 = 177.28 : x
  2. Step 2: Convert to fraction form
    181.83/250.54 = 177.28/x
  3. Step 3: Cross multiply
    181.83x = 250.54 × 177.28
  4. Step 4: Simplify right side
    181.83x = 44,414.66
  5. Step 5: Solve for x
    x = 44,414.66/181.83
  6. Step 6: Final answer
    x = 244.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.