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Finding the Fourth Proportional to 183.12, 252.58 and 109.42

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Solution

The fourth proportional to 183.12, 252.58 and 109.42 is: 150.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.12 : 252.58 = 109.42 : x
  2. Step 2: Convert to fraction form
    183.12/252.58 = 109.42/x
  3. Step 3: Cross multiply
    183.12x = 252.58 × 109.42
  4. Step 4: Simplify right side
    183.12x = 27,637.30
  5. Step 5: Solve for x
    x = 27,637.30/183.12
  6. Step 6: Final answer
    x = 150.92

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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.