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Finding the Fourth Proportional to 213.42, 319.71 and 159.36

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Solution

The fourth proportional to 213.42, 319.71 and 159.36 is: 238.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.42 : 319.71 = 159.36 : x
  2. Step 2: Convert to fraction form
    213.42/319.71 = 159.36/x
  3. Step 3: Cross multiply
    213.42x = 319.71 × 159.36
  4. Step 4: Simplify right side
    213.42x = 50,948.99
  5. Step 5: Solve for x
    x = 50,948.99/213.42
  6. Step 6: Final answer
    x = 238.73

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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.