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Finding the Fourth Proportional to 294.25, 406.08 and 190.93

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Solution

The fourth proportional to 294.25, 406.08 and 190.93 is: 263.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.25 : 406.08 = 190.93 : x
  2. Step 2: Convert to fraction form
    294.25/406.08 = 190.93/x
  3. Step 3: Cross multiply
    294.25x = 406.08 × 190.93
  4. Step 4: Simplify right side
    294.25x = 77,532.85
  5. Step 5: Solve for x
    x = 77,532.85/294.25
  6. Step 6: Final answer
    x = 263.49

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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.