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Finding the Fourth Proportional to 571.24, 856.86 and 186.44

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Solution

The fourth proportional to 571.24, 856.86 and 186.44 is: 279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.24 : 856.86 = 186.44 : x
  2. Step 2: Convert to fraction form
    571.24/856.86 = 186.44/x
  3. Step 3: Cross multiply
    571.24x = 856.86 × 186.44
  4. Step 4: Simplify right side
    571.24x = 159,752.98
  5. Step 5: Solve for x
    x = 159,752.98/571.24
  6. Step 6: Final answer
    x = 279.66

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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.