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Finding the Fourth Proportional to 196.15, 294.14 and 93.26

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Solution

The fourth proportional to 196.15, 294.14 and 93.26 is: 139.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.15 : 294.14 = 93.26 : x
  2. Step 2: Convert to fraction form
    196.15/294.14 = 93.26/x
  3. Step 3: Cross multiply
    196.15x = 294.14 × 93.26
  4. Step 4: Simplify right side
    196.15x = 27,431.50
  5. Step 5: Solve for x
    x = 27,431.50/196.15
  6. Step 6: Final answer
    x = 139.85

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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.