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Finding the Fourth Proportional to 184.19, 254.17 and 101.29

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Solution

The fourth proportional to 184.19, 254.17 and 101.29 is: 139.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.19 : 254.17 = 101.29 : x
  2. Step 2: Convert to fraction form
    184.19/254.17 = 101.29/x
  3. Step 3: Cross multiply
    184.19x = 254.17 × 101.29
  4. Step 4: Simplify right side
    184.19x = 25,746.09
  5. Step 5: Solve for x
    x = 25,746.09/184.19
  6. Step 6: Final answer
    x = 139.78

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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.