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Finding the Fourth Proportional to 288.90, 433.62 and 180.36

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Solution

The fourth proportional to 288.90, 433.62 and 180.36 is: 270.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.90 : 433.62 = 180.36 : x
  2. Step 2: Convert to fraction form
    288.90/433.62 = 180.36/x
  3. Step 3: Cross multiply
    288.90x = 433.62 × 180.36
  4. Step 4: Simplify right side
    288.90x = 78,207.70
  5. Step 5: Solve for x
    x = 78,207.70/288.90
  6. Step 6: Final answer
    x = 270.71

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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.