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Finding the Fourth Proportional to 173.97, 259.58 and 172.95

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Solution

The fourth proportional to 173.97, 259.58 and 172.95 is: 258.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.97 : 259.58 = 172.95 : x
  2. Step 2: Convert to fraction form
    173.97/259.58 = 172.95/x
  3. Step 3: Cross multiply
    173.97x = 259.58 × 172.95
  4. Step 4: Simplify right side
    173.97x = 44,894.36
  5. Step 5: Solve for x
    x = 44,894.36/173.97
  6. Step 6: Final answer
    x = 258.06

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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.