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Finding the Fourth Proportional to 194.84, 292.14 and 109.40

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Solution

The fourth proportional to 194.84, 292.14 and 109.40 is: 164.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.84 : 292.14 = 109.40 : x
  2. Step 2: Convert to fraction form
    194.84/292.14 = 109.40/x
  3. Step 3: Cross multiply
    194.84x = 292.14 × 109.40
  4. Step 4: Simplify right side
    194.84x = 31,960.12
  5. Step 5: Solve for x
    x = 31,960.12/194.84
  6. Step 6: Final answer
    x = 164.03

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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.