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Finding the Fourth Proportional to 467.92, 702.04 and 194.09

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Solution

The fourth proportional to 467.92, 702.04 and 194.09 is: 291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.92 : 702.04 = 194.09 : x
  2. Step 2: Convert to fraction form
    467.92/702.04 = 194.09/x
  3. Step 3: Cross multiply
    467.92x = 702.04 × 194.09
  4. Step 4: Simplify right side
    467.92x = 136,258.94
  5. Step 5: Solve for x
    x = 136,258.94/467.92
  6. Step 6: Final answer
    x = 291.20

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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.