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Finding the Fourth Proportional to 182.74, 252.19 and 109.06

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Solution

The fourth proportional to 182.74, 252.19 and 109.06 is: 150.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.74 : 252.19 = 109.06 : x
  2. Step 2: Convert to fraction form
    182.74/252.19 = 109.06/x
  3. Step 3: Cross multiply
    182.74x = 252.19 × 109.06
  4. Step 4: Simplify right side
    182.74x = 27,503.30
  5. Step 5: Solve for x
    x = 27,503.30/182.74
  6. Step 6: Final answer
    x = 150.51

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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.