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Finding the Fourth Proportional to 172.82, 258.96 and 145.82

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Solution

The fourth proportional to 172.82, 258.96 and 145.82 is: 218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.82 : 258.96 = 145.82 : x
  2. Step 2: Convert to fraction form
    172.82/258.96 = 145.82/x
  3. Step 3: Cross multiply
    172.82x = 258.96 × 145.82
  4. Step 4: Simplify right side
    172.82x = 37,761.55
  5. Step 5: Solve for x
    x = 37,761.55/172.82
  6. Step 6: Final answer
    x = 218.50

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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.