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Finding the Fourth Proportional to 183.24, 252.74 and 109.53

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Solution

The fourth proportional to 183.24, 252.74 and 109.53 is: 151.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.24 : 252.74 = 109.53 : x
  2. Step 2: Convert to fraction form
    183.24/252.74 = 109.53/x
  3. Step 3: Cross multiply
    183.24x = 252.74 × 109.53
  4. Step 4: Simplify right side
    183.24x = 27,682.06
  5. Step 5: Solve for x
    x = 27,682.06/183.24
  6. Step 6: Final answer
    x = 151.07

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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.