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Finding the Fourth Proportional to 239.26, 356.65 and 213.10

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Solution

The fourth proportional to 239.26, 356.65 and 213.10 is: 317.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.26 : 356.65 = 213.10 : x
  2. Step 2: Convert to fraction form
    239.26/356.65 = 213.10/x
  3. Step 3: Cross multiply
    239.26x = 356.65 × 213.10
  4. Step 4: Simplify right side
    239.26x = 76,002.12
  5. Step 5: Solve for x
    x = 76,002.12/239.26
  6. Step 6: Final answer
    x = 317.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.