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Finding the Fourth Proportional to 288.68, 433.02 and 180.28

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Solution

The fourth proportional to 288.68, 433.02 and 180.28 is: 270.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.68 : 433.02 = 180.28 : x
  2. Step 2: Convert to fraction form
    288.68/433.02 = 180.28/x
  3. Step 3: Cross multiply
    288.68x = 433.02 × 180.28
  4. Step 4: Simplify right side
    288.68x = 78,064.85
  5. Step 5: Solve for x
    x = 78,064.85/288.68
  6. Step 6: Final answer
    x = 270.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.