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Finding the Fourth Proportional to 172.67, 259.16 and 134.01

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Solution

The fourth proportional to 172.67, 259.16 and 134.01 is: 201.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.67 : 259.16 = 134.01 : x
  2. Step 2: Convert to fraction form
    172.67/259.16 = 134.01/x
  3. Step 3: Cross multiply
    172.67x = 259.16 × 134.01
  4. Step 4: Simplify right side
    172.67x = 34,729.36
  5. Step 5: Solve for x
    x = 34,729.36/172.67
  6. Step 6: Final answer
    x = 201.14

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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.