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Finding the Fourth Proportional to 182.69, 252.16 and 109.07

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Solution

The fourth proportional to 182.69, 252.16 and 109.07 is: 150.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.69 : 252.16 = 109.07 : x
  2. Step 2: Convert to fraction form
    182.69/252.16 = 109.07/x
  3. Step 3: Cross multiply
    182.69x = 252.16 × 109.07
  4. Step 4: Simplify right side
    182.69x = 27,501.83
  5. Step 5: Solve for x
    x = 27,501.83/182.69
  6. Step 6: Final answer
    x = 150.54

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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.