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Finding the Fourth Proportional to 194.22, 267.80 and 141.67

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Solution

The fourth proportional to 194.22, 267.80 and 141.67 is: 195.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.22 : 267.80 = 141.67 : x
  2. Step 2: Convert to fraction form
    194.22/267.80 = 141.67/x
  3. Step 3: Cross multiply
    194.22x = 267.80 × 141.67
  4. Step 4: Simplify right side
    194.22x = 37,939.23
  5. Step 5: Solve for x
    x = 37,939.23/194.22
  6. Step 6: Final answer
    x = 195.35

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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.