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Finding the Fourth Proportional to 182.83, 252.27 and 105.19

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Solution

The fourth proportional to 182.83, 252.27 and 105.19 is: 145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.83 : 252.27 = 105.19 : x
  2. Step 2: Convert to fraction form
    182.83/252.27 = 105.19/x
  3. Step 3: Cross multiply
    182.83x = 252.27 × 105.19
  4. Step 4: Simplify right side
    182.83x = 26,536.05
  5. Step 5: Solve for x
    x = 26,536.05/182.83
  6. Step 6: Final answer
    x = 145.14

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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.