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Finding the Fourth Proportional to 257.38, 386.17 and 113.06

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Solution

The fourth proportional to 257.38, 386.17 and 113.06 is: 169.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.38 : 386.17 = 113.06 : x
  2. Step 2: Convert to fraction form
    257.38/386.17 = 113.06/x
  3. Step 3: Cross multiply
    257.38x = 386.17 × 113.06
  4. Step 4: Simplify right side
    257.38x = 43,661.06
  5. Step 5: Solve for x
    x = 43,661.06/257.38
  6. Step 6: Final answer
    x = 169.64

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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.