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Finding the Fourth Proportional to 185.37, 274.17 and 185.37

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Solution

The fourth proportional to 185.37, 274.17 and 185.37 is: 274.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.37 : 274.17 = 185.37 : x
  2. Step 2: Convert to fraction form
    185.37/274.17 = 185.37/x
  3. Step 3: Cross multiply
    185.37x = 274.17 × 185.37
  4. Step 4: Simplify right side
    185.37x = 50,822.89
  5. Step 5: Solve for x
    x = 50,822.89/185.37
  6. Step 6: Final answer
    x = 274.17

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.