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Finding the Fourth Proportional to 235.72, 325.26 and 162.22

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Solution

The fourth proportional to 235.72, 325.26 and 162.22 is: 223.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.72 : 325.26 = 162.22 : x
  2. Step 2: Convert to fraction form
    235.72/325.26 = 162.22/x
  3. Step 3: Cross multiply
    235.72x = 325.26 × 162.22
  4. Step 4: Simplify right side
    235.72x = 52,763.68
  5. Step 5: Solve for x
    x = 52,763.68/235.72
  6. Step 6: Final answer
    x = 223.84

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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.