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Finding the Fourth Proportional to 194.25, 267.93 and 127.83

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Solution

The fourth proportional to 194.25, 267.93 and 127.83 is: 176.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.25 : 267.93 = 127.83 : x
  2. Step 2: Convert to fraction form
    194.25/267.93 = 127.83/x
  3. Step 3: Cross multiply
    194.25x = 267.93 × 127.83
  4. Step 4: Simplify right side
    194.25x = 34,249.49
  5. Step 5: Solve for x
    x = 34,249.49/194.25
  6. Step 6: Final answer
    x = 176.32

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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.