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Finding the Fourth Proportional to 185.26, 253.17 and 176.74

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Solution

The fourth proportional to 185.26, 253.17 and 176.74 is: 241.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.26 : 253.17 = 176.74 : x
  2. Step 2: Convert to fraction form
    185.26/253.17 = 176.74/x
  3. Step 3: Cross multiply
    185.26x = 253.17 × 176.74
  4. Step 4: Simplify right side
    185.26x = 44,745.27
  5. Step 5: Solve for x
    x = 44,745.27/185.26
  6. Step 6: Final answer
    x = 241.53

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.