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Finding the Fourth Proportional to 194.90, 291.81 and 98.24

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Solution

The fourth proportional to 194.90, 291.81 and 98.24 is: 147.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.90 : 291.81 = 98.24 : x
  2. Step 2: Convert to fraction form
    194.90/291.81 = 98.24/x
  3. Step 3: Cross multiply
    194.90x = 291.81 × 98.24
  4. Step 4: Simplify right side
    194.90x = 28,667.41
  5. Step 5: Solve for x
    x = 28,667.41/194.90
  6. Step 6: Final answer
    x = 147.09

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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.