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Finding the Fourth Proportional to 172.10, 259.34 and 163.86

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Solution

The fourth proportional to 172.10, 259.34 and 163.86 is: 246.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.10 : 259.34 = 163.86 : x
  2. Step 2: Convert to fraction form
    172.10/259.34 = 163.86/x
  3. Step 3: Cross multiply
    172.10x = 259.34 × 163.86
  4. Step 4: Simplify right side
    172.10x = 42,495.45
  5. Step 5: Solve for x
    x = 42,495.45/172.10
  6. Step 6: Final answer
    x = 246.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.