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Finding the Fourth Proportional to 467.04, 699.94 and 192.85

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Solution

The fourth proportional to 467.04, 699.94 and 192.85 is: 289.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.04 : 699.94 = 192.85 : x
  2. Step 2: Convert to fraction form
    467.04/699.94 = 192.85/x
  3. Step 3: Cross multiply
    467.04x = 699.94 × 192.85
  4. Step 4: Simplify right side
    467.04x = 134,983.43
  5. Step 5: Solve for x
    x = 134,983.43/467.04
  6. Step 6: Final answer
    x = 289.02

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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.