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Finding the Fourth Proportional to 286.83, 430.34 and 184.37

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Solution

The fourth proportional to 286.83, 430.34 and 184.37 is: 276.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.83 : 430.34 = 184.37 : x
  2. Step 2: Convert to fraction form
    286.83/430.34 = 184.37/x
  3. Step 3: Cross multiply
    286.83x = 430.34 × 184.37
  4. Step 4: Simplify right side
    286.83x = 79,338.71
  5. Step 5: Solve for x
    x = 79,338.71/286.83
  6. Step 6: Final answer
    x = 276.61

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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.