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Finding the Fourth Proportional to 468.26, 702.46 and 194.20

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Solution

The fourth proportional to 468.26, 702.46 and 194.20 is: 291.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.26 : 702.46 = 194.20 : x
  2. Step 2: Convert to fraction form
    468.26/702.46 = 194.20/x
  3. Step 3: Cross multiply
    468.26x = 702.46 × 194.20
  4. Step 4: Simplify right side
    468.26x = 136,417.73
  5. Step 5: Solve for x
    x = 136,417.73/468.26
  6. Step 6: Final answer
    x = 291.33

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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.