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Finding the Fourth Proportional to 468.90, 702.81 and 194.85

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Solution

The fourth proportional to 468.90, 702.81 and 194.85 is: 292.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.90 : 702.81 = 194.85 : x
  2. Step 2: Convert to fraction form
    468.90/702.81 = 194.85/x
  3. Step 3: Cross multiply
    468.90x = 702.81 × 194.85
  4. Step 4: Simplify right side
    468.90x = 136,942.53
  5. Step 5: Solve for x
    x = 136,942.53/468.90
  6. Step 6: Final answer
    x = 292.05

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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.