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Finding the Fourth Proportional to 194.20, 267.90 and 145

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Solution

The fourth proportional to 194.20, 267.90 and 145 is: 200.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.20 : 267.90 = 145 : x
  2. Step 2: Convert to fraction form
    194.20/267.90 = 145/x
  3. Step 3: Cross multiply
    194.20x = 267.90 × 145
  4. Step 4: Simplify right side
    194.20x = 38,845.50
  5. Step 5: Solve for x
    x = 38,845.50/194.20
  6. Step 6: Final answer
    x = 200.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.