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Finding the Fourth Proportional to 572.30, 858.44 and 161.44

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Solution

The fourth proportional to 572.30, 858.44 and 161.44 is: 242.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.30 : 858.44 = 161.44 : x
  2. Step 2: Convert to fraction form
    572.30/858.44 = 161.44/x
  3. Step 3: Cross multiply
    572.30x = 858.44 × 161.44
  4. Step 4: Simplify right side
    572.30x = 138,586.55
  5. Step 5: Solve for x
    x = 138,586.55/572.30
  6. Step 6: Final answer
    x = 242.16

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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.