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Finding the Fourth Proportional to 230.81, 345.81 and 122.27

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Solution

The fourth proportional to 230.81, 345.81 and 122.27 is: 183.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.81 : 345.81 = 122.27 : x
  2. Step 2: Convert to fraction form
    230.81/345.81 = 122.27/x
  3. Step 3: Cross multiply
    230.81x = 345.81 × 122.27
  4. Step 4: Simplify right side
    230.81x = 42,282.19
  5. Step 5: Solve for x
    x = 42,282.19/230.81
  6. Step 6: Final answer
    x = 183.19

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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.