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Finding the Fourth Proportional to 196.47, 294.57 and 105.21

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Solution

The fourth proportional to 196.47, 294.57 and 105.21 is: 157.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.47 : 294.57 = 105.21 : x
  2. Step 2: Convert to fraction form
    196.47/294.57 = 105.21/x
  3. Step 3: Cross multiply
    196.47x = 294.57 × 105.21
  4. Step 4: Simplify right side
    196.47x = 30,991.71
  5. Step 5: Solve for x
    x = 30,991.71/196.47
  6. Step 6: Final answer
    x = 157.74

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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.