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Finding the Fourth Proportional to 572.21, 858.14 and 161.25

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Solution

The fourth proportional to 572.21, 858.14 and 161.25 is: 241.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.21 : 858.14 = 161.25 : x
  2. Step 2: Convert to fraction form
    572.21/858.14 = 161.25/x
  3. Step 3: Cross multiply
    572.21x = 858.14 × 161.25
  4. Step 4: Simplify right side
    572.21x = 138,375.08
  5. Step 5: Solve for x
    x = 138,375.08/572.21
  6. Step 6: Final answer
    x = 241.83

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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.