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Finding the Fourth Proportional to 467.84, 701.33 and 194.00

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Solution

The fourth proportional to 467.84, 701.33 and 194.00 is: 290.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.84 : 701.33 = 194.00 : x
  2. Step 2: Convert to fraction form
    467.84/701.33 = 194.00/x
  3. Step 3: Cross multiply
    467.84x = 701.33 × 194.00
  4. Step 4: Simplify right side
    467.84x = 136,053.54
  5. Step 5: Solve for x
    x = 136,053.54/467.84
  6. Step 6: Final answer
    x = 290.81

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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.