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Finding the Fourth Proportional to 365.26, 547.26 and 170.05

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Solution

The fourth proportional to 365.26, 547.26 and 170.05 is: 254.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.26 : 547.26 = 170.05 : x
  2. Step 2: Convert to fraction form
    365.26/547.26 = 170.05/x
  3. Step 3: Cross multiply
    365.26x = 547.26 × 170.05
  4. Step 4: Simplify right side
    365.26x = 93,060.58
  5. Step 5: Solve for x
    x = 93,060.58/365.26
  6. Step 6: Final answer
    x = 254.78

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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.