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Finding the Fourth Proportional to 182.81, 252.28 and 105.23

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Solution

The fourth proportional to 182.81, 252.28 and 105.23 is: 145.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.81 : 252.28 = 105.23 : x
  2. Step 2: Convert to fraction form
    182.81/252.28 = 105.23/x
  3. Step 3: Cross multiply
    182.81x = 252.28 × 105.23
  4. Step 4: Simplify right side
    182.81x = 26,548.19
  5. Step 5: Solve for x
    x = 26,548.19/182.81
  6. Step 6: Final answer
    x = 145.22

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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.