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Finding the Fourth Proportional to 289.28, 434.01 and 144.88

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Solution

The fourth proportional to 289.28, 434.01 and 144.88 is: 217.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.28 : 434.01 = 144.88 : x
  2. Step 2: Convert to fraction form
    289.28/434.01 = 144.88/x
  3. Step 3: Cross multiply
    289.28x = 434.01 × 144.88
  4. Step 4: Simplify right side
    289.28x = 62,879.37
  5. Step 5: Solve for x
    x = 62,879.37/289.28
  6. Step 6: Final answer
    x = 217.37

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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.