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Finding the Fourth Proportional to 172.20, 256.59 and 154.03

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Solution

The fourth proportional to 172.20, 256.59 and 154.03 is: 229.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.20 : 256.59 = 154.03 : x
  2. Step 2: Convert to fraction form
    172.20/256.59 = 154.03/x
  3. Step 3: Cross multiply
    172.20x = 256.59 × 154.03
  4. Step 4: Simplify right side
    172.20x = 39,522.56
  5. Step 5: Solve for x
    x = 39,522.56/172.20
  6. Step 6: Final answer
    x = 229.52

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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.