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Finding the Fourth Proportional to 173.00, 259.21 and 136.29

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Solution

The fourth proportional to 173.00, 259.21 and 136.29 is: 204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.00 : 259.21 = 136.29 : x
  2. Step 2: Convert to fraction form
    173.00/259.21 = 136.29/x
  3. Step 3: Cross multiply
    173.00x = 259.21 × 136.29
  4. Step 4: Simplify right side
    173.00x = 35,328.87
  5. Step 5: Solve for x
    x = 35,328.87/173.00
  6. Step 6: Final answer
    x = 204.21

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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.