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Finding the Fourth Proportional to 293.30, 405.10 and 194.88

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Solution

The fourth proportional to 293.30, 405.10 and 194.88 is: 269.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.30 : 405.10 = 194.88 : x
  2. Step 2: Convert to fraction form
    293.30/405.10 = 194.88/x
  3. Step 3: Cross multiply
    293.30x = 405.10 × 194.88
  4. Step 4: Simplify right side
    293.30x = 78,945.89
  5. Step 5: Solve for x
    x = 78,945.89/293.30
  6. Step 6: Final answer
    x = 269.16

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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.