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Finding the Fourth Proportional to 182.30, 251.74 and 162.96

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Solution

The fourth proportional to 182.30, 251.74 and 162.96 is: 225.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.30 : 251.74 = 162.96 : x
  2. Step 2: Convert to fraction form
    182.30/251.74 = 162.96/x
  3. Step 3: Cross multiply
    182.30x = 251.74 × 162.96
  4. Step 4: Simplify right side
    182.30x = 41,023.55
  5. Step 5: Solve for x
    x = 41,023.55/182.30
  6. Step 6: Final answer
    x = 225.03

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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.