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Finding the Fourth Proportional to 196.03, 293.89 and 97.16

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Solution

The fourth proportional to 196.03, 293.89 and 97.16 is: 145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.03 : 293.89 = 97.16 : x
  2. Step 2: Convert to fraction form
    196.03/293.89 = 97.16/x
  3. Step 3: Cross multiply
    196.03x = 293.89 × 97.16
  4. Step 4: Simplify right side
    196.03x = 28,554.35
  5. Step 5: Solve for x
    x = 28,554.35/196.03
  6. Step 6: Final answer
    x = 145.66

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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.