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Finding the Fourth Proportional to 184.30, 254.13 and 140.74

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Solution

The fourth proportional to 184.30, 254.13 and 140.74 is: 194.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.30 : 254.13 = 140.74 : x
  2. Step 2: Convert to fraction form
    184.30/254.13 = 140.74/x
  3. Step 3: Cross multiply
    184.30x = 254.13 × 140.74
  4. Step 4: Simplify right side
    184.30x = 35,766.26
  5. Step 5: Solve for x
    x = 35,766.26/184.30
  6. Step 6: Final answer
    x = 194.07

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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.