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Finding the Fourth Proportional to 172.63, 259.88 and 132.23

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Solution

The fourth proportional to 172.63, 259.88 and 132.23 is: 199.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.63 : 259.88 = 132.23 : x
  2. Step 2: Convert to fraction form
    172.63/259.88 = 132.23/x
  3. Step 3: Cross multiply
    172.63x = 259.88 × 132.23
  4. Step 4: Simplify right side
    172.63x = 34,365.04
  5. Step 5: Solve for x
    x = 34,365.04/172.63
  6. Step 6: Final answer
    x = 199.07

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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.