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Finding the Fourth Proportional to 238.54, 357.60 and 170.14

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Solution

The fourth proportional to 238.54, 357.60 and 170.14 is: 255.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.54 : 357.60 = 170.14 : x
  2. Step 2: Convert to fraction form
    238.54/357.60 = 170.14/x
  3. Step 3: Cross multiply
    238.54x = 357.60 × 170.14
  4. Step 4: Simplify right side
    238.54x = 60,842.06
  5. Step 5: Solve for x
    x = 60,842.06/238.54
  6. Step 6: Final answer
    x = 255.06

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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.