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Finding the Fourth Proportional to 572.62, 858.92 and 161.75

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Solution

The fourth proportional to 572.62, 858.92 and 161.75 is: 242.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.62 : 858.92 = 161.75 : x
  2. Step 2: Convert to fraction form
    572.62/858.92 = 161.75/x
  3. Step 3: Cross multiply
    572.62x = 858.92 × 161.75
  4. Step 4: Simplify right side
    572.62x = 138,926.82
  5. Step 5: Solve for x
    x = 138,926.82/572.62
  6. Step 6: Final answer
    x = 242.62

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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.