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Finding the Fourth Proportional to 173.60, 260.25 and 82.25

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Solution

The fourth proportional to 173.60, 260.25 and 82.25 is: 123.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.60 : 260.25 = 82.25 : x
  2. Step 2: Convert to fraction form
    173.60/260.25 = 82.25/x
  3. Step 3: Cross multiply
    173.60x = 260.25 × 82.25
  4. Step 4: Simplify right side
    173.60x = 21,406.86
  5. Step 5: Solve for x
    x = 21,406.86/173.60
  6. Step 6: Final answer
    x = 123.31

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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.