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Finding the Fourth Proportional to 605.54, 908.42 and 194.64

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Solution

The fourth proportional to 605.54, 908.42 and 194.64 is: 292.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.54 : 908.42 = 194.64 : x
  2. Step 2: Convert to fraction form
    605.54/908.42 = 194.64/x
  3. Step 3: Cross multiply
    605.54x = 908.42 × 194.64
  4. Step 4: Simplify right side
    605.54x = 176,814.87
  5. Step 5: Solve for x
    x = 176,814.87/605.54
  6. Step 6: Final answer
    x = 292.00

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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.