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Finding the Fourth Proportional to 172.61, 259.84 and 157.73

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Solution

The fourth proportional to 172.61, 259.84 and 157.73 is: 237.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.61 : 259.84 = 157.73 : x
  2. Step 2: Convert to fraction form
    172.61/259.84 = 157.73/x
  3. Step 3: Cross multiply
    172.61x = 259.84 × 157.73
  4. Step 4: Simplify right side
    172.61x = 40,983.26
  5. Step 5: Solve for x
    x = 40,983.26/172.61
  6. Step 6: Final answer
    x = 237.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.