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Finding the Fourth Proportional to 194.04, 289.80 and 185.54

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Solution

The fourth proportional to 194.04, 289.80 and 185.54 is: 277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.04 : 289.80 = 185.54 : x
  2. Step 2: Convert to fraction form
    194.04/289.80 = 185.54/x
  3. Step 3: Cross multiply
    194.04x = 289.80 × 185.54
  4. Step 4: Simplify right side
    194.04x = 53,768.04
  5. Step 5: Solve for x
    x = 53,768.04/194.04
  6. Step 6: Final answer
    x = 277.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.