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Finding the Fourth Proportional to 173.14, 258.62 and 172.24

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Solution

The fourth proportional to 173.14, 258.62 and 172.24 is: 257.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.14 : 258.62 = 172.24 : x
  2. Step 2: Convert to fraction form
    173.14/258.62 = 172.24/x
  3. Step 3: Cross multiply
    173.14x = 258.62 × 172.24
  4. Step 4: Simplify right side
    173.14x = 44,544.71
  5. Step 5: Solve for x
    x = 44,544.71/173.14
  6. Step 6: Final answer
    x = 257.28

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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.