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Finding the Fourth Proportional to 289.63, 399.81 and 184.85

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Solution

The fourth proportional to 289.63, 399.81 and 184.85 is: 255.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.63 : 399.81 = 184.85 : x
  2. Step 2: Convert to fraction form
    289.63/399.81 = 184.85/x
  3. Step 3: Cross multiply
    289.63x = 399.81 × 184.85
  4. Step 4: Simplify right side
    289.63x = 73,904.88
  5. Step 5: Solve for x
    x = 73,904.88/289.63
  6. Step 6: Final answer
    x = 255.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.