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Finding the Fourth Proportional to 182.08, 251.26 and 102.32

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Solution

The fourth proportional to 182.08, 251.26 and 102.32 is: 141.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.08 : 251.26 = 102.32 : x
  2. Step 2: Convert to fraction form
    182.08/251.26 = 102.32/x
  3. Step 3: Cross multiply
    182.08x = 251.26 × 102.32
  4. Step 4: Simplify right side
    182.08x = 25,708.93
  5. Step 5: Solve for x
    x = 25,708.93/182.08
  6. Step 6: Final answer
    x = 141.19

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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.