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Finding the Fourth Proportional to 181.20, 272.34 and 170.13

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Solution

The fourth proportional to 181.20, 272.34 and 170.13 is: 255.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.20 : 272.34 = 170.13 : x
  2. Step 2: Convert to fraction form
    181.20/272.34 = 170.13/x
  3. Step 3: Cross multiply
    181.20x = 272.34 × 170.13
  4. Step 4: Simplify right side
    181.20x = 46,333.20
  5. Step 5: Solve for x
    x = 46,333.20/181.20
  6. Step 6: Final answer
    x = 255.70

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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.