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Finding the Fourth Proportional to 569.23, 853.81 and 158.42

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Solution

The fourth proportional to 569.23, 853.81 and 158.42 is: 237.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.23 : 853.81 = 158.42 : x
  2. Step 2: Convert to fraction form
    569.23/853.81 = 158.42/x
  3. Step 3: Cross multiply
    569.23x = 853.81 × 158.42
  4. Step 4: Simplify right side
    569.23x = 135,262.32
  5. Step 5: Solve for x
    x = 135,262.32/569.23
  6. Step 6: Final answer
    x = 237.62

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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.