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Finding the Fourth Proportional to 468.22, 702.51 and 194.38

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Solution

The fourth proportional to 468.22, 702.51 and 194.38 is: 291.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.22 : 702.51 = 194.38 : x
  2. Step 2: Convert to fraction form
    468.22/702.51 = 194.38/x
  3. Step 3: Cross multiply
    468.22x = 702.51 × 194.38
  4. Step 4: Simplify right side
    468.22x = 136,553.89
  5. Step 5: Solve for x
    x = 136,553.89/468.22
  6. Step 6: Final answer
    x = 291.64

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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.