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Finding the Fourth Proportional to 183.24, 252.80 and 105.60

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Solution

The fourth proportional to 183.24, 252.80 and 105.60 is: 145.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.24 : 252.80 = 105.60 : x
  2. Step 2: Convert to fraction form
    183.24/252.80 = 105.60/x
  3. Step 3: Cross multiply
    183.24x = 252.80 × 105.60
  4. Step 4: Simplify right side
    183.24x = 26,695.68
  5. Step 5: Solve for x
    x = 26,695.68/183.24
  6. Step 6: Final answer
    x = 145.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.