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Finding the Fourth Proportional to 288.88, 432.86 and 180.44

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Solution

The fourth proportional to 288.88, 432.86 and 180.44 is: 270.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.88 : 432.86 = 180.44 : x
  2. Step 2: Convert to fraction form
    288.88/432.86 = 180.44/x
  3. Step 3: Cross multiply
    288.88x = 432.86 × 180.44
  4. Step 4: Simplify right side
    288.88x = 78,103.82
  5. Step 5: Solve for x
    x = 78,103.82/288.88
  6. Step 6: Final answer
    x = 270.37

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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.