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Finding the Fourth Proportional to 705.17, 1,057.66 and 185.21

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Solution

The fourth proportional to 705.17, 1,057.66 and 185.21 is: 277.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.17 : 1,057.66 = 185.21 : x
  2. Step 2: Convert to fraction form
    705.17/1,057.66 = 185.21/x
  3. Step 3: Cross multiply
    705.17x = 1,057.66 × 185.21
  4. Step 4: Simplify right side
    705.17x = 195,883.92
  5. Step 5: Solve for x
    x = 195,883.92/705.17
  6. Step 6: Final answer
    x = 277.78

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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.