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Finding the Fourth Proportional to 196.67, 295.02 and 156.14

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Solution

The fourth proportional to 196.67, 295.02 and 156.14 is: 234.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.67 : 295.02 = 156.14 : x
  2. Step 2: Convert to fraction form
    196.67/295.02 = 156.14/x
  3. Step 3: Cross multiply
    196.67x = 295.02 × 156.14
  4. Step 4: Simplify right side
    196.67x = 46,062.95
  5. Step 5: Solve for x
    x = 46,062.95/196.67
  6. Step 6: Final answer
    x = 234.21

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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.