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Finding the Fourth Proportional to 194.74, 292.06 and 72.98

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Solution

The fourth proportional to 194.74, 292.06 and 72.98 is: 109.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.74 : 292.06 = 72.98 : x
  2. Step 2: Convert to fraction form
    194.74/292.06 = 72.98/x
  3. Step 3: Cross multiply
    194.74x = 292.06 × 72.98
  4. Step 4: Simplify right side
    194.74x = 21,314.54
  5. Step 5: Solve for x
    x = 21,314.54/194.74
  6. Step 6: Final answer
    x = 109.45

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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.