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Finding the Fourth Proportional to 153.37, 230.27 and 122.84

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Solution

The fourth proportional to 153.37, 230.27 and 122.84 is: 184.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.37 : 230.27 = 122.84 : x
  2. Step 2: Convert to fraction form
    153.37/230.27 = 122.84/x
  3. Step 3: Cross multiply
    153.37x = 230.27 × 122.84
  4. Step 4: Simplify right side
    153.37x = 28,284.60
  5. Step 5: Solve for x
    x = 28,284.60/153.37
  6. Step 6: Final answer
    x = 184.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.