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Finding the Fourth Proportional to 172.24, 258.49 and 147.94

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Solution

The fourth proportional to 172.24, 258.49 and 147.94 is: 222.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.24 : 258.49 = 147.94 : x
  2. Step 2: Convert to fraction form
    172.24/258.49 = 147.94/x
  3. Step 3: Cross multiply
    172.24x = 258.49 × 147.94
  4. Step 4: Simplify right side
    172.24x = 38,241.01
  5. Step 5: Solve for x
    x = 38,241.01/172.24
  6. Step 6: Final answer
    x = 222.02

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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.