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Finding the Fourth Proportional to 294.95, 406.91 and 190.03

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Solution

The fourth proportional to 294.95, 406.91 and 190.03 is: 262.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.95 : 406.91 = 190.03 : x
  2. Step 2: Convert to fraction form
    294.95/406.91 = 190.03/x
  3. Step 3: Cross multiply
    294.95x = 406.91 × 190.03
  4. Step 4: Simplify right side
    294.95x = 77,323.56
  5. Step 5: Solve for x
    x = 77,323.56/294.95
  6. Step 6: Final answer
    x = 262.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.