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Finding the Fourth Proportional to 184.68, 254.86 and 101.79

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Solution

The fourth proportional to 184.68, 254.86 and 101.79 is: 140.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.68 : 254.86 = 101.79 : x
  2. Step 2: Convert to fraction form
    184.68/254.86 = 101.79/x
  3. Step 3: Cross multiply
    184.68x = 254.86 × 101.79
  4. Step 4: Simplify right side
    184.68x = 25,942.20
  5. Step 5: Solve for x
    x = 25,942.20/184.68
  6. Step 6: Final answer
    x = 140.47

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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.