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Finding the Fourth Proportional to 194.98, 292.14 and 184.04

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Solution

The fourth proportional to 194.98, 292.14 and 184.04 is: 275.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.98 : 292.14 = 184.04 : x
  2. Step 2: Convert to fraction form
    194.98/292.14 = 184.04/x
  3. Step 3: Cross multiply
    194.98x = 292.14 × 184.04
  4. Step 4: Simplify right side
    194.98x = 53,765.45
  5. Step 5: Solve for x
    x = 53,765.45/194.98
  6. Step 6: Final answer
    x = 275.75

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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.