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Finding the Fourth Proportional to 571.50, 857.37 and 186.78

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Solution

The fourth proportional to 571.50, 857.37 and 186.78 is: 280.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.50 : 857.37 = 186.78 : x
  2. Step 2: Convert to fraction form
    571.50/857.37 = 186.78/x
  3. Step 3: Cross multiply
    571.50x = 857.37 × 186.78
  4. Step 4: Simplify right side
    571.50x = 160,139.57
  5. Step 5: Solve for x
    x = 160,139.57/571.50
  6. Step 6: Final answer
    x = 280.21

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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.