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Finding the Fourth Proportional to 173.66, 260.64 and 92.52

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Solution

The fourth proportional to 173.66, 260.64 and 92.52 is: 138.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.66 : 260.64 = 92.52 : x
  2. Step 2: Convert to fraction form
    173.66/260.64 = 92.52/x
  3. Step 3: Cross multiply
    173.66x = 260.64 × 92.52
  4. Step 4: Simplify right side
    173.66x = 24,114.41
  5. Step 5: Solve for x
    x = 24,114.41/173.66
  6. Step 6: Final answer
    x = 138.86

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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.