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Finding the Fourth Proportional to 173.86, 260.80 and 82.57

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Solution

The fourth proportional to 173.86, 260.80 and 82.57 is: 123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.86 : 260.80 = 82.57 : x
  2. Step 2: Convert to fraction form
    173.86/260.80 = 82.57/x
  3. Step 3: Cross multiply
    173.86x = 260.80 × 82.57
  4. Step 4: Simplify right side
    173.86x = 21,533.89
  5. Step 5: Solve for x
    x = 21,533.89/173.86
  6. Step 6: Final answer
    x = 123.86

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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.