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Finding the Fourth Proportional to 194.08, 267.94 and 151.98

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Solution

The fourth proportional to 194.08, 267.94 and 151.98 is: 209.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.08 : 267.94 = 151.98 : x
  2. Step 2: Convert to fraction form
    194.08/267.94 = 151.98/x
  3. Step 3: Cross multiply
    194.08x = 267.94 × 151.98
  4. Step 4: Simplify right side
    194.08x = 40,721.52
  5. Step 5: Solve for x
    x = 40,721.52/194.08
  6. Step 6: Final answer
    x = 209.82

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