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Finding the Fourth Proportional to 146.51, 202.05 and 125.78

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Solution

The fourth proportional to 146.51, 202.05 and 125.78 is: 173.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.51 : 202.05 = 125.78 : x
  2. Step 2: Convert to fraction form
    146.51/202.05 = 125.78/x
  3. Step 3: Cross multiply
    146.51x = 202.05 × 125.78
  4. Step 4: Simplify right side
    146.51x = 25,413.85
  5. Step 5: Solve for x
    x = 25,413.85/146.51
  6. Step 6: Final answer
    x = 173.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.