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Finding the Fourth Proportional to 323.93, 484.70 and 194.00

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Solution

The fourth proportional to 323.93, 484.70 and 194.00 is: 290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.93 : 484.70 = 194.00 : x
  2. Step 2: Convert to fraction form
    323.93/484.70 = 194.00/x
  3. Step 3: Cross multiply
    323.93x = 484.70 × 194.00
  4. Step 4: Simplify right side
    323.93x = 94,029.86
  5. Step 5: Solve for x
    x = 94,029.86/323.93
  6. Step 6: Final answer
    x = 290.28

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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.