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Finding the Fourth Proportional to 216.90, 299.31 and 142.23

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Solution

The fourth proportional to 216.90, 299.31 and 142.23 is: 196.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.90 : 299.31 = 142.23 : x
  2. Step 2: Convert to fraction form
    216.90/299.31 = 142.23/x
  3. Step 3: Cross multiply
    216.90x = 299.31 × 142.23
  4. Step 4: Simplify right side
    216.90x = 42,570.86
  5. Step 5: Solve for x
    x = 42,570.86/216.90
  6. Step 6: Final answer
    x = 196.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.