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Finding the Fourth Proportional to 216.81, 325.41 and 143.49

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Solution

The fourth proportional to 216.81, 325.41 and 143.49 is: 215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.81 : 325.41 = 143.49 : x
  2. Step 2: Convert to fraction form
    216.81/325.41 = 143.49/x
  3. Step 3: Cross multiply
    216.81x = 325.41 × 143.49
  4. Step 4: Simplify right side
    216.81x = 46,693.08
  5. Step 5: Solve for x
    x = 46,693.08/216.81
  6. Step 6: Final answer
    x = 215.36

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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.