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Finding the Fourth Proportional to 467.92, 701.72 and 194

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Solution

The fourth proportional to 467.92, 701.72 and 194 is: 290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.92 : 701.72 = 194 : x
  2. Step 2: Convert to fraction form
    467.92/701.72 = 194/x
  3. Step 3: Cross multiply
    467.92x = 701.72 × 194
  4. Step 4: Simplify right side
    467.92x = 136,133.68
  5. Step 5: Solve for x
    x = 136,133.68/467.92
  6. Step 6: Final answer
    x = 290.93

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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.