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Finding the Fourth Proportional to 468.75, 702.65 and 194.99

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Solution

The fourth proportional to 468.75, 702.65 and 194.99 is: 292.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.75 : 702.65 = 194.99 : x
  2. Step 2: Convert to fraction form
    468.75/702.65 = 194.99/x
  3. Step 3: Cross multiply
    468.75x = 702.65 × 194.99
  4. Step 4: Simplify right side
    468.75x = 137,011.97
  5. Step 5: Solve for x
    x = 137,011.97/468.75
  6. Step 6: Final answer
    x = 292.29

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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.