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Finding the Fourth Proportional to 173.72, 260.72 and 172.37

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Solution

The fourth proportional to 173.72, 260.72 and 172.37 is: 258.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.72 : 260.72 = 172.37 : x
  2. Step 2: Convert to fraction form
    173.72/260.72 = 172.37/x
  3. Step 3: Cross multiply
    173.72x = 260.72 × 172.37
  4. Step 4: Simplify right side
    173.72x = 44,938.14
  5. Step 5: Solve for x
    x = 44,938.14/173.72
  6. Step 6: Final answer
    x = 258.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.