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Finding the Fourth Proportional to 196.14, 294.77 and 194.08

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Solution

The fourth proportional to 196.14, 294.77 and 194.08 is: 291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.14 : 294.77 = 194.08 : x
  2. Step 2: Convert to fraction form
    196.14/294.77 = 194.08/x
  3. Step 3: Cross multiply
    196.14x = 294.77 × 194.08
  4. Step 4: Simplify right side
    196.14x = 57,209.26
  5. Step 5: Solve for x
    x = 57,209.26/196.14
  6. Step 6: Final answer
    x = 291.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.