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Finding the Fourth Proportional to 173.86, 260.81 and 87.22

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Solution

The fourth proportional to 173.86, 260.81 and 87.22 is: 130.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.86 : 260.81 = 87.22 : x
  2. Step 2: Convert to fraction form
    173.86/260.81 = 87.22/x
  3. Step 3: Cross multiply
    173.86x = 260.81 × 87.22
  4. Step 4: Simplify right side
    173.86x = 22,747.85
  5. Step 5: Solve for x
    x = 22,747.85/173.86
  6. Step 6: Final answer
    x = 130.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.