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Finding the Fourth Proportional to 183.06, 252.63 and 109.40

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Solution

The fourth proportional to 183.06, 252.63 and 109.40 is: 150.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.06 : 252.63 = 109.40 : x
  2. Step 2: Convert to fraction form
    183.06/252.63 = 109.40/x
  3. Step 3: Cross multiply
    183.06x = 252.63 × 109.40
  4. Step 4: Simplify right side
    183.06x = 27,636.46
  5. Step 5: Solve for x
    x = 27,636.46/183.06
  6. Step 6: Final answer
    x = 150.97

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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.