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Finding the Fourth Proportional to 163.58, 225.06 and 142.78

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Solution

The fourth proportional to 163.58, 225.06 and 142.78 is: 196.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.58 : 225.06 = 142.78 : x
  2. Step 2: Convert to fraction form
    163.58/225.06 = 142.78/x
  3. Step 3: Cross multiply
    163.58x = 225.06 × 142.78
  4. Step 4: Simplify right side
    163.58x = 32,134.07
  5. Step 5: Solve for x
    x = 32,134.07/163.58
  6. Step 6: Final answer
    x = 196.44

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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.