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Finding the Fourth Proportional to 216.27, 297.98 and 142.46

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Solution

The fourth proportional to 216.27, 297.98 and 142.46 is: 196.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.27 : 297.98 = 142.46 : x
  2. Step 2: Convert to fraction form
    216.27/297.98 = 142.46/x
  3. Step 3: Cross multiply
    216.27x = 297.98 × 142.46
  4. Step 4: Simplify right side
    216.27x = 42,448.03
  5. Step 5: Solve for x
    x = 42,448.03/216.27
  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.