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Finding the Fourth Proportional to 194.84, 292.33 and 71.48

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Solution

The fourth proportional to 194.84, 292.33 and 71.48 is: 107.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.84 : 292.33 = 71.48 : x
  2. Step 2: Convert to fraction form
    194.84/292.33 = 71.48/x
  3. Step 3: Cross multiply
    194.84x = 292.33 × 71.48
  4. Step 4: Simplify right side
    194.84x = 20,895.62
  5. Step 5: Solve for x
    x = 20,895.62/194.84
  6. Step 6: Final answer
    x = 107.24

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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.