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Finding the Fourth Proportional to 172.70, 257.34 and 154.53

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Solution

The fourth proportional to 172.70, 257.34 and 154.53 is: 230.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.70 : 257.34 = 154.53 : x
  2. Step 2: Convert to fraction form
    172.70/257.34 = 154.53/x
  3. Step 3: Cross multiply
    172.70x = 257.34 × 154.53
  4. Step 4: Simplify right side
    172.70x = 39,765.98
  5. Step 5: Solve for x
    x = 39,765.98/172.70
  6. Step 6: Final answer
    x = 230.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.