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Finding the Fourth Proportional to 196.04, 292.68 and 165.22

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Solution

The fourth proportional to 196.04, 292.68 and 165.22 is: 246.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.04 : 292.68 = 165.22 : x
  2. Step 2: Convert to fraction form
    196.04/292.68 = 165.22/x
  3. Step 3: Cross multiply
    196.04x = 292.68 × 165.22
  4. Step 4: Simplify right side
    196.04x = 48,355.86
  5. Step 5: Solve for x
    x = 48,355.86/196.04
  6. Step 6: Final answer
    x = 246.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.