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Finding the Fourth Proportional to 271.05, 406.35 and 194.00

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Solution

The fourth proportional to 271.05, 406.35 and 194.00 is: 290.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.05 : 406.35 = 194.00 : x
  2. Step 2: Convert to fraction form
    271.05/406.35 = 194.00/x
  3. Step 3: Cross multiply
    271.05x = 406.35 × 194.00
  4. Step 4: Simplify right side
    271.05x = 78,829.87
  5. Step 5: Solve for x
    x = 78,829.87/271.05
  6. Step 6: Final answer
    x = 290.84

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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.