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Finding the Fourth Proportional to 173.90, 260.74 and 76.40

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Solution

The fourth proportional to 173.90, 260.74 and 76.40 is: 114.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.90 : 260.74 = 76.40 : x
  2. Step 2: Convert to fraction form
    173.90/260.74 = 76.40/x
  3. Step 3: Cross multiply
    173.90x = 260.74 × 76.40
  4. Step 4: Simplify right side
    173.90x = 19,920.54
  5. Step 5: Solve for x
    x = 19,920.54/173.90
  6. Step 6: Final answer
    x = 114.55

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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.