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Finding the Fourth Proportional to 196.21, 270.64 and 165.31

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Solution

The fourth proportional to 196.21, 270.64 and 165.31 is: 228.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.21 : 270.64 = 165.31 : x
  2. Step 2: Convert to fraction form
    196.21/270.64 = 165.31/x
  3. Step 3: Cross multiply
    196.21x = 270.64 × 165.31
  4. Step 4: Simplify right side
    196.21x = 44,739.50
  5. Step 5: Solve for x
    x = 44,739.50/196.21
  6. Step 6: Final answer
    x = 228.02

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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.