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Finding the Fourth Proportional to 181.58, 272.78 and 170.06

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Solution

The fourth proportional to 181.58, 272.78 and 170.06 is: 255.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.58 : 272.78 = 170.06 : x
  2. Step 2: Convert to fraction form
    181.58/272.78 = 170.06/x
  3. Step 3: Cross multiply
    181.58x = 272.78 × 170.06
  4. Step 4: Simplify right side
    181.58x = 46,388.12
  5. Step 5: Solve for x
    x = 46,388.12/181.58
  6. Step 6: Final answer
    x = 255.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.