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Finding the Fourth Proportional to 173.44, 260.04 and 132.64

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Solution

The fourth proportional to 173.44, 260.04 and 132.64 is: 198.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.44 : 260.04 = 132.64 : x
  2. Step 2: Convert to fraction form
    173.44/260.04 = 132.64/x
  3. Step 3: Cross multiply
    173.44x = 260.04 × 132.64
  4. Step 4: Simplify right side
    173.44x = 34,491.71
  5. Step 5: Solve for x
    x = 34,491.71/173.44
  6. Step 6: Final answer
    x = 198.87

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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.