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Finding the Fourth Proportional to 288.90, 433.68 and 180.75

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Solution

The fourth proportional to 288.90, 433.68 and 180.75 is: 271.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.90 : 433.68 = 180.75 : x
  2. Step 2: Convert to fraction form
    288.90/433.68 = 180.75/x
  3. Step 3: Cross multiply
    288.90x = 433.68 × 180.75
  4. Step 4: Simplify right side
    288.90x = 78,387.66
  5. Step 5: Solve for x
    x = 78,387.66/288.90
  6. Step 6: Final answer
    x = 271.33

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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.