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Finding the Fourth Proportional to 288.69, 433.23 and 106.09

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Solution

The fourth proportional to 288.69, 433.23 and 106.09 is: 159.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.69 : 433.23 = 106.09 : x
  2. Step 2: Convert to fraction form
    288.69/433.23 = 106.09/x
  3. Step 3: Cross multiply
    288.69x = 433.23 × 106.09
  4. Step 4: Simplify right side
    288.69x = 45,961.37
  5. Step 5: Solve for x
    x = 45,961.37/288.69
  6. Step 6: Final answer
    x = 159.21

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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.