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Finding the Fourth Proportional to 196.53, 294.64 and 105.30

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Solution

The fourth proportional to 196.53, 294.64 and 105.30 is: 157.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.53 : 294.64 = 105.30 : x
  2. Step 2: Convert to fraction form
    196.53/294.64 = 105.30/x
  3. Step 3: Cross multiply
    196.53x = 294.64 × 105.30
  4. Step 4: Simplify right side
    196.53x = 31,025.33
  5. Step 5: Solve for x
    x = 31,025.33/196.53
  6. Step 6: Final answer
    x = 157.87

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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.