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Finding the Fourth Proportional to 467.78, 701.46 and 194

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Solution

The fourth proportional to 467.78, 701.46 and 194 is: 290.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.78 : 701.46 = 194 : x
  2. Step 2: Convert to fraction form
    467.78/701.46 = 194/x
  3. Step 3: Cross multiply
    467.78x = 701.46 × 194
  4. Step 4: Simplify right side
    467.78x = 136,083.24
  5. Step 5: Solve for x
    x = 136,083.24/467.78
  6. Step 6: Final answer
    x = 290.91

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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.