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Finding the Fourth Proportional to 213.56, 320.43 and 159.56

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Solution

The fourth proportional to 213.56, 320.43 and 159.56 is: 239.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.56 : 320.43 = 159.56 : x
  2. Step 2: Convert to fraction form
    213.56/320.43 = 159.56/x
  3. Step 3: Cross multiply
    213.56x = 320.43 × 159.56
  4. Step 4: Simplify right side
    213.56x = 51,126.21
  5. Step 5: Solve for x
    x = 51,126.21/213.56
  6. Step 6: Final answer
    x = 239.41

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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.