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Finding the Fourth Proportional to 705.29, 1,057.90 and 192.25

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Solution

The fourth proportional to 705.29, 1,057.90 and 192.25 is: 288.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.29 : 1,057.90 = 192.25 : x
  2. Step 2: Convert to fraction form
    705.29/1,057.90 = 192.25/x
  3. Step 3: Cross multiply
    705.29x = 1,057.90 × 192.25
  4. Step 4: Simplify right side
    705.29x = 203,380.31
  5. Step 5: Solve for x
    x = 203,380.31/705.29
  6. Step 6: Final answer
    x = 288.36

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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.