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Finding the Fourth Proportional to 572.22, 858.29 and 161.42

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Solution

The fourth proportional to 572.22, 858.29 and 161.42 is: 242.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.22 : 858.29 = 161.42 : x
  2. Step 2: Convert to fraction form
    572.22/858.29 = 161.42/x
  3. Step 3: Cross multiply
    572.22x = 858.29 × 161.42
  4. Step 4: Simplify right side
    572.22x = 138,540.07
  5. Step 5: Solve for x
    x = 138,540.07/572.22
  6. Step 6: Final answer
    x = 242.11

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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.