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Finding the Fourth Proportional to 184.19, 254.12 and 105.51

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Solution

The fourth proportional to 184.19, 254.12 and 105.51 is: 145.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.19 : 254.12 = 105.51 : x
  2. Step 2: Convert to fraction form
    184.19/254.12 = 105.51/x
  3. Step 3: Cross multiply
    184.19x = 254.12 × 105.51
  4. Step 4: Simplify right side
    184.19x = 26,812.20
  5. Step 5: Solve for x
    x = 26,812.20/184.19
  6. Step 6: Final answer
    x = 145.57

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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.