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Finding the Fourth Proportional to 541.42, 812.18 and 194.80

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Solution

The fourth proportional to 541.42, 812.18 and 194.80 is: 292.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.42 : 812.18 = 194.80 : x
  2. Step 2: Convert to fraction form
    541.42/812.18 = 194.80/x
  3. Step 3: Cross multiply
    541.42x = 812.18 × 194.80
  4. Step 4: Simplify right side
    541.42x = 158,212.66
  5. Step 5: Solve for x
    x = 158,212.66/541.42
  6. Step 6: Final answer
    x = 292.22

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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.