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Finding the Fourth Proportional to 172.81, 259.22 and 164.16

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Solution

The fourth proportional to 172.81, 259.22 and 164.16 is: 246.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.81 : 259.22 = 164.16 : x
  2. Step 2: Convert to fraction form
    172.81/259.22 = 164.16/x
  3. Step 3: Cross multiply
    172.81x = 259.22 × 164.16
  4. Step 4: Simplify right side
    172.81x = 42,553.67
  5. Step 5: Solve for x
    x = 42,553.67/172.81
  6. Step 6: Final answer
    x = 246.24

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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.