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Finding the Fourth Proportional to 465.98, 698.81 and 192.02

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Solution

The fourth proportional to 465.98, 698.81 and 192.02 is: 287.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.98 : 698.81 = 192.02 : x
  2. Step 2: Convert to fraction form
    465.98/698.81 = 192.02/x
  3. Step 3: Cross multiply
    465.98x = 698.81 × 192.02
  4. Step 4: Simplify right side
    465.98x = 134,181.04
  5. Step 5: Solve for x
    x = 134,181.04/465.98
  6. Step 6: Final answer
    x = 287.96

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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.