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Finding the Fourth Proportional to 293.64, 405.09 and 194.16

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Solution

The fourth proportional to 293.64, 405.09 and 194.16 is: 267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.64 : 405.09 = 194.16 : x
  2. Step 2: Convert to fraction form
    293.64/405.09 = 194.16/x
  3. Step 3: Cross multiply
    293.64x = 405.09 × 194.16
  4. Step 4: Simplify right side
    293.64x = 78,651.30
  5. Step 5: Solve for x
    x = 78,651.30/293.64
  6. Step 6: Final answer
    x = 267.85

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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.