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Finding the Fourth Proportional to 194.67, 267.15 and 176.22

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Solution

The fourth proportional to 194.67, 267.15 and 176.22 is: 241.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.67 : 267.15 = 176.22 : x
  2. Step 2: Convert to fraction form
    194.67/267.15 = 176.22/x
  3. Step 3: Cross multiply
    194.67x = 267.15 × 176.22
  4. Step 4: Simplify right side
    194.67x = 47,077.17
  5. Step 5: Solve for x
    x = 47,077.17/194.67
  6. Step 6: Final answer
    x = 241.83

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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.