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Finding the Fourth Proportional to 163.88, 246.26 and 153.50

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Solution

The fourth proportional to 163.88, 246.26 and 153.50 is: 230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.88 : 246.26 = 153.50 : x
  2. Step 2: Convert to fraction form
    163.88/246.26 = 153.50/x
  3. Step 3: Cross multiply
    163.88x = 246.26 × 153.50
  4. Step 4: Simplify right side
    163.88x = 37,800.91
  5. Step 5: Solve for x
    x = 37,800.91/163.88
  6. Step 6: Final answer
    x = 230.66

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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.