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Finding the Fourth Proportional to 194.30, 293.27 and 194.30

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Solution

The fourth proportional to 194.30, 293.27 and 194.30 is: 293.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.30 : 293.27 = 194.30 : x
  2. Step 2: Convert to fraction form
    194.30/293.27 = 194.30/x
  3. Step 3: Cross multiply
    194.30x = 293.27 × 194.30
  4. Step 4: Simplify right side
    194.30x = 56,979.92
  5. Step 5: Solve for x
    x = 56,979.92/194.30
  6. Step 6: Final answer
    x = 293.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.