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Finding the Fourth Proportional to 541.58, 812.34 and 194.96

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Solution

The fourth proportional to 541.58, 812.34 and 194.96 is: 292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.58 : 812.34 = 194.96 : x
  2. Step 2: Convert to fraction form
    541.58/812.34 = 194.96/x
  3. Step 3: Cross multiply
    541.58x = 812.34 × 194.96
  4. Step 4: Simplify right side
    541.58x = 158,373.81
  5. Step 5: Solve for x
    x = 158,373.81/541.58
  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.