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Finding the Fourth Proportional to 196.56, 295.93 and 153.46

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Solution

The fourth proportional to 196.56, 295.93 and 153.46 is: 231.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.56 : 295.93 = 153.46 : x
  2. Step 2: Convert to fraction form
    196.56/295.93 = 153.46/x
  3. Step 3: Cross multiply
    196.56x = 295.93 × 153.46
  4. Step 4: Simplify right side
    196.56x = 45,413.98
  5. Step 5: Solve for x
    x = 45,413.98/196.56
  6. Step 6: Final answer
    x = 231.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.