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Finding the Fourth Proportional to 291.33, 402.12 and 180.75

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Solution

The fourth proportional to 291.33, 402.12 and 180.75 is: 249.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.33 : 402.12 = 180.75 : x
  2. Step 2: Convert to fraction form
    291.33/402.12 = 180.75/x
  3. Step 3: Cross multiply
    291.33x = 402.12 × 180.75
  4. Step 4: Simplify right side
    291.33x = 72,680.28
  5. Step 5: Solve for x
    x = 72,680.28/291.33
  6. Step 6: Final answer
    x = 249.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.