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Finding the Fourth Proportional to 376.22, 564.23 and 159.75

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Solution

The fourth proportional to 376.22, 564.23 and 159.75 is: 239.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.22 : 564.23 = 159.75 : x
  2. Step 2: Convert to fraction form
    376.22/564.23 = 159.75/x
  3. Step 3: Cross multiply
    376.22x = 564.23 × 159.75
  4. Step 4: Simplify right side
    376.22x = 90,136.14
  5. Step 5: Solve for x
    x = 90,136.14/376.22
  6. Step 6: Final answer
    x = 239.58

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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.