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Finding the Fourth Proportional to 184.24, 254.14 and 140.48

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Solution

The fourth proportional to 184.24, 254.14 and 140.48 is: 193.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.24 : 254.14 = 140.48 : x
  2. Step 2: Convert to fraction form
    184.24/254.14 = 140.48/x
  3. Step 3: Cross multiply
    184.24x = 254.14 × 140.48
  4. Step 4: Simplify right side
    184.24x = 35,701.59
  5. Step 5: Solve for x
    x = 35,701.59/184.24
  6. Step 6: Final answer
    x = 193.78

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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.