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Finding the Fourth Proportional to 286.77, 430.33 and 122.23

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Solution

The fourth proportional to 286.77, 430.33 and 122.23 is: 183.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.77 : 430.33 = 122.23 : x
  2. Step 2: Convert to fraction form
    286.77/430.33 = 122.23/x
  3. Step 3: Cross multiply
    286.77x = 430.33 × 122.23
  4. Step 4: Simplify right side
    286.77x = 52,599.79
  5. Step 5: Solve for x
    x = 52,599.79/286.77
  6. Step 6: Final answer
    x = 183.42

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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.