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Finding the Fourth Proportional to 122.51, 182.75 and 119.78

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Solution

The fourth proportional to 122.51, 182.75 and 119.78 is: 178.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.51 : 182.75 = 119.78 : x
  2. Step 2: Convert to fraction form
    122.51/182.75 = 119.78/x
  3. Step 3: Cross multiply
    122.51x = 182.75 × 119.78
  4. Step 4: Simplify right side
    122.51x = 21,888.28
  5. Step 5: Solve for x
    x = 21,888.28/122.51
  6. Step 6: Final answer
    x = 178.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.