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Finding the Fourth Proportional to 194.04, 266.00 and 190.55

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Solution

The fourth proportional to 194.04, 266.00 and 190.55 is: 261.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.04 : 266.00 = 190.55 : x
  2. Step 2: Convert to fraction form
    194.04/266.00 = 190.55/x
  3. Step 3: Cross multiply
    194.04x = 266.00 × 190.55
  4. Step 4: Simplify right side
    194.04x = 50,684.02
  5. Step 5: Solve for x
    x = 50,684.02/194.04
  6. Step 6: Final answer
    x = 261.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.