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Finding the Fourth Proportional to 216.93, 325.13 and 144.57

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Solution

The fourth proportional to 216.93, 325.13 and 144.57 is: 216.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.93 : 325.13 = 144.57 : x
  2. Step 2: Convert to fraction form
    216.93/325.13 = 144.57/x
  3. Step 3: Cross multiply
    216.93x = 325.13 × 144.57
  4. Step 4: Simplify right side
    216.93x = 47,003.32
  5. Step 5: Solve for x
    x = 47,003.32/216.93
  6. Step 6: Final answer
    x = 216.68

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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.