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Finding the Fourth Proportional to 122.81, 183.20 and 119.00

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Solution

The fourth proportional to 122.81, 183.20 and 119.00 is: 177.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.81 : 183.20 = 119.00 : x
  2. Step 2: Convert to fraction form
    122.81/183.20 = 119.00/x
  3. Step 3: Cross multiply
    122.81x = 183.20 × 119.00
  4. Step 4: Simplify right side
    122.81x = 21,800.66
  5. Step 5: Solve for x
    x = 21,800.66/122.81
  6. Step 6: Final answer
    x = 177.52

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Why These Related Problems?

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