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Finding the Fourth Proportional to 571.16, 856.71 and 160.29

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Solution

The fourth proportional to 571.16, 856.71 and 160.29 is: 240.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.16 : 856.71 = 160.29 : x
  2. Step 2: Convert to fraction form
    571.16/856.71 = 160.29/x
  3. Step 3: Cross multiply
    571.16x = 856.71 × 160.29
  4. Step 4: Simplify right side
    571.16x = 137,322.05
  5. Step 5: Solve for x
    x = 137,322.05/571.16
  6. Step 6: Final answer
    x = 240.43

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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.