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Finding the Fourth Proportional to 216.02, 323.47 and 142.67

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Solution

The fourth proportional to 216.02, 323.47 and 142.67 is: 213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.02 : 323.47 = 142.67 : x
  2. Step 2: Convert to fraction form
    216.02/323.47 = 142.67/x
  3. Step 3: Cross multiply
    216.02x = 323.47 × 142.67
  4. Step 4: Simplify right side
    216.02x = 46,149.46
  5. Step 5: Solve for x
    x = 46,149.46/216.02
  6. Step 6: Final answer
    x = 213.64

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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.