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Finding the Fourth Proportional to 213.57, 320.36 and 136.82

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Solution

The fourth proportional to 213.57, 320.36 and 136.82 is: 205.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.57 : 320.36 = 136.82 : x
  2. Step 2: Convert to fraction form
    213.57/320.36 = 136.82/x
  3. Step 3: Cross multiply
    213.57x = 320.36 × 136.82
  4. Step 4: Simplify right side
    213.57x = 43,831.77
  5. Step 5: Solve for x
    x = 43,831.77/213.57
  6. Step 6: Final answer
    x = 205.23

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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.