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Finding the Fourth Proportional to 172.81, 259.40 and 171.97

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Solution

The fourth proportional to 172.81, 259.40 and 171.97 is: 258.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.81 : 259.40 = 171.97 : x
  2. Step 2: Convert to fraction form
    172.81/259.40 = 171.97/x
  3. Step 3: Cross multiply
    172.81x = 259.40 × 171.97
  4. Step 4: Simplify right side
    172.81x = 44,609.02
  5. Step 5: Solve for x
    x = 44,609.02/172.81
  6. Step 6: Final answer
    x = 258.14

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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.