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Finding the Fourth Proportional to 541.78, 812.42 and 195.02

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Solution

The fourth proportional to 541.78, 812.42 and 195.02 is: 292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.78 : 812.42 = 195.02 : x
  2. Step 2: Convert to fraction form
    541.78/812.42 = 195.02/x
  3. Step 3: Cross multiply
    541.78x = 812.42 × 195.02
  4. Step 4: Simplify right side
    541.78x = 158,436.12
  5. Step 5: Solve for x
    x = 158,436.12/541.78
  6. Step 6: Final answer
    x = 292.43

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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.