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Finding the Fourth Proportional to 196.85, 271.32 and 147.65

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Solution

The fourth proportional to 196.85, 271.32 and 147.65 is: 203.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.85 : 271.32 = 147.65 : x
  2. Step 2: Convert to fraction form
    196.85/271.32 = 147.65/x
  3. Step 3: Cross multiply
    196.85x = 271.32 × 147.65
  4. Step 4: Simplify right side
    196.85x = 40,058.49
  5. Step 5: Solve for x
    x = 40,058.49/196.85
  6. Step 6: Final answer
    x = 203.49

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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.