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Finding the Fourth Proportional to 294.16, 406.00 and 194.95

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Solution

The fourth proportional to 294.16, 406.00 and 194.95 is: 269.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.16 : 406.00 = 194.95 : x
  2. Step 2: Convert to fraction form
    294.16/406.00 = 194.95/x
  3. Step 3: Cross multiply
    294.16x = 406.00 × 194.95
  4. Step 4: Simplify right side
    294.16x = 79,148.73
  5. Step 5: Solve for x
    x = 79,148.73/294.16
  6. Step 6: Final answer
    x = 269.07

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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.