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Finding the Fourth Proportional to 465.84, 698.97 and 192.12

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Solution

The fourth proportional to 465.84, 698.97 and 192.12 is: 288.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.84 : 698.97 = 192.12 : x
  2. Step 2: Convert to fraction form
    465.84/698.97 = 192.12/x
  3. Step 3: Cross multiply
    465.84x = 698.97 × 192.12
  4. Step 4: Simplify right side
    465.84x = 134,286.12
  5. Step 5: Solve for x
    x = 134,286.12/465.84
  6. Step 6: Final answer
    x = 288.27

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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.