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Finding the Fourth Proportional to 235.90, 325.44 and 161.20

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Solution

The fourth proportional to 235.90, 325.44 and 161.20 is: 222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.90 : 325.44 = 161.20 : x
  2. Step 2: Convert to fraction form
    235.90/325.44 = 161.20/x
  3. Step 3: Cross multiply
    235.90x = 325.44 × 161.20
  4. Step 4: Simplify right side
    235.90x = 52,460.93
  5. Step 5: Solve for x
    x = 52,460.93/235.90
  6. Step 6: Final answer
    x = 222.39

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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.