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Finding the Fourth Proportional to 196.05, 292.54 and 194.91

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Solution

The fourth proportional to 196.05, 292.54 and 194.91 is: 290.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.05 : 292.54 = 194.91 : x
  2. Step 2: Convert to fraction form
    196.05/292.54 = 194.91/x
  3. Step 3: Cross multiply
    196.05x = 292.54 × 194.91
  4. Step 4: Simplify right side
    196.05x = 57,020.19
  5. Step 5: Solve for x
    x = 57,020.19/196.05
  6. Step 6: Final answer
    x = 290.84

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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.