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Finding the Fourth Proportional to 216.74, 322.67 and 213.70

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Solution

The fourth proportional to 216.74, 322.67 and 213.70 is: 318.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.74 : 322.67 = 213.70 : x
  2. Step 2: Convert to fraction form
    216.74/322.67 = 213.70/x
  3. Step 3: Cross multiply
    216.74x = 322.67 × 213.70
  4. Step 4: Simplify right side
    216.74x = 68,954.58
  5. Step 5: Solve for x
    x = 68,954.58/216.74
  6. Step 6: Final answer
    x = 318.14

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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.