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Finding the Fourth Proportional to 172.37, 257.99 and 156.38

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Solution

The fourth proportional to 172.37, 257.99 and 156.38 is: 234.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.37 : 257.99 = 156.38 : x
  2. Step 2: Convert to fraction form
    172.37/257.99 = 156.38/x
  3. Step 3: Cross multiply
    172.37x = 257.99 × 156.38
  4. Step 4: Simplify right side
    172.37x = 40,342.40
  5. Step 5: Solve for x
    x = 40,342.40/172.37
  6. Step 6: Final answer
    x = 234.05

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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.