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Finding the Fourth Proportional to 196.27, 292.24 and 193.35

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Solution

The fourth proportional to 196.27, 292.24 and 193.35 is: 287.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.27 : 292.24 = 193.35 : x
  2. Step 2: Convert to fraction form
    196.27/292.24 = 193.35/x
  3. Step 3: Cross multiply
    196.27x = 292.24 × 193.35
  4. Step 4: Simplify right side
    196.27x = 56,504.60
  5. Step 5: Solve for x
    x = 56,504.60/196.27
  6. Step 6: Final answer
    x = 287.89

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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.