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Finding the Fourth Proportional to 289.69, 399.78 and 179.14

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Solution

The fourth proportional to 289.69, 399.78 and 179.14 is: 247.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.69 : 399.78 = 179.14 : x
  2. Step 2: Convert to fraction form
    289.69/399.78 = 179.14/x
  3. Step 3: Cross multiply
    289.69x = 399.78 × 179.14
  4. Step 4: Simplify right side
    289.69x = 71,616.59
  5. Step 5: Solve for x
    x = 71,616.59/289.69
  6. Step 6: Final answer
    x = 247.22

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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.