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Finding the Fourth Proportional to 181.95, 252.08 and 177.69

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Solution

The fourth proportional to 181.95, 252.08 and 177.69 is: 246.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.95 : 252.08 = 177.69 : x
  2. Step 2: Convert to fraction form
    181.95/252.08 = 177.69/x
  3. Step 3: Cross multiply
    181.95x = 252.08 × 177.69
  4. Step 4: Simplify right side
    181.95x = 44,791.21
  5. Step 5: Solve for x
    x = 44,791.21/181.95
  6. Step 6: Final answer
    x = 246.17

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.