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Finding the Fourth Proportional to 541.65, 812.49 and 194.97

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Solution

The fourth proportional to 541.65, 812.49 and 194.97 is: 292.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.65 : 812.49 = 194.97 : x
  2. Step 2: Convert to fraction form
    541.65/812.49 = 194.97/x
  3. Step 3: Cross multiply
    541.65x = 812.49 × 194.97
  4. Step 4: Simplify right side
    541.65x = 158,413.49
  5. Step 5: Solve for x
    x = 158,413.49/541.65
  6. Step 6: Final answer
    x = 292.46

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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.