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Finding the Fourth Proportional to 216.24, 298.40 and 142.59

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Solution

The fourth proportional to 216.24, 298.40 and 142.59 is: 196.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.24 : 298.40 = 142.59 : x
  2. Step 2: Convert to fraction form
    216.24/298.40 = 142.59/x
  3. Step 3: Cross multiply
    216.24x = 298.40 × 142.59
  4. Step 4: Simplify right side
    216.24x = 42,549.96
  5. Step 5: Solve for x
    x = 42,549.96/216.24
  6. Step 6: Final answer
    x = 196.78

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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.