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Finding the Fourth Proportional to 194.04, 291.12 and 190.44

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Solution

The fourth proportional to 194.04, 291.12 and 190.44 is: 285.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.04 : 291.12 = 190.44 : x
  2. Step 2: Convert to fraction form
    194.04/291.12 = 190.44/x
  3. Step 3: Cross multiply
    194.04x = 291.12 × 190.44
  4. Step 4: Simplify right side
    194.04x = 55,440.89
  5. Step 5: Solve for x
    x = 55,440.89/194.04
  6. Step 6: Final answer
    x = 285.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.