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Finding the Fourth Proportional to 272.02, 374.82 and 184.54

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Solution

The fourth proportional to 272.02, 374.82 and 184.54 is: 254.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.02 : 374.82 = 184.54 : x
  2. Step 2: Convert to fraction form
    272.02/374.82 = 184.54/x
  3. Step 3: Cross multiply
    272.02x = 374.82 × 184.54
  4. Step 4: Simplify right side
    272.02x = 69,169.28
  5. Step 5: Solve for x
    x = 69,169.28/272.02
  6. Step 6: Final answer
    x = 254.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.