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Finding the Fourth Proportional to 572.09, 858.14 and 161.23

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Solution

The fourth proportional to 572.09, 858.14 and 161.23 is: 241.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.09 : 858.14 = 161.23 : x
  2. Step 2: Convert to fraction form
    572.09/858.14 = 161.23/x
  3. Step 3: Cross multiply
    572.09x = 858.14 × 161.23
  4. Step 4: Simplify right side
    572.09x = 138,358.78
  5. Step 5: Solve for x
    x = 138,358.78/572.09
  6. Step 6: Final answer
    x = 241.85

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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.