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Finding the Fourth Proportional to 288.28, 433.10 and 180.15

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Solution

The fourth proportional to 288.28, 433.10 and 180.15 is: 270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.28 : 433.10 = 180.15 : x
  2. Step 2: Convert to fraction form
    288.28/433.10 = 180.15/x
  3. Step 3: Cross multiply
    288.28x = 433.10 × 180.15
  4. Step 4: Simplify right side
    288.28x = 78,022.97
  5. Step 5: Solve for x
    x = 78,022.97/288.28
  6. Step 6: Final answer
    x = 270.65

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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.