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Finding the Fourth Proportional to 571.10, 856.68 and 160.26

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Solution

The fourth proportional to 571.10, 856.68 and 160.26 is: 240.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.10 : 856.68 = 160.26 : x
  2. Step 2: Convert to fraction form
    571.10/856.68 = 160.26/x
  3. Step 3: Cross multiply
    571.10x = 856.68 × 160.26
  4. Step 4: Simplify right side
    571.10x = 137,287.72
  5. Step 5: Solve for x
    x = 137,287.72/571.10
  6. Step 6: Final answer
    x = 240.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.