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Finding the Fourth Proportional to 288.28, 431.82 and 180.16

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Solution

The fourth proportional to 288.28, 431.82 and 180.16 is: 269.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.28 : 431.82 = 180.16 : x
  2. Step 2: Convert to fraction form
    288.28/431.82 = 180.16/x
  3. Step 3: Cross multiply
    288.28x = 431.82 × 180.16
  4. Step 4: Simplify right side
    288.28x = 77,796.69
  5. Step 5: Solve for x
    x = 77,796.69/288.28
  6. Step 6: Final answer
    x = 269.87

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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.