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Finding the Fourth Proportional to 571.14, 856.69 and 160.27

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Solution

The fourth proportional to 571.14, 856.69 and 160.27 is: 240.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.14 : 856.69 = 160.27 : x
  2. Step 2: Convert to fraction form
    571.14/856.69 = 160.27/x
  3. Step 3: Cross multiply
    571.14x = 856.69 × 160.27
  4. Step 4: Simplify right side
    571.14x = 137,299.16
  5. Step 5: Solve for x
    x = 137,299.16/571.14
  6. Step 6: Final answer
    x = 240.39

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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.