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Finding the Fourth Proportional to 173.47, 259.85 and 77.35

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Solution

The fourth proportional to 173.47, 259.85 and 77.35 is: 115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.47 : 259.85 = 77.35 : x
  2. Step 2: Convert to fraction form
    173.47/259.85 = 77.35/x
  3. Step 3: Cross multiply
    173.47x = 259.85 × 77.35
  4. Step 4: Simplify right side
    173.47x = 20,099.01
  5. Step 5: Solve for x
    x = 20,099.01/173.47
  6. Step 6: Final answer
    x = 115.86

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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.