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Finding the Fourth Proportional to 291.37, 402.06 and 180.81

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Solution

The fourth proportional to 291.37, 402.06 and 180.81 is: 249.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.37 : 402.06 = 180.81 : x
  2. Step 2: Convert to fraction form
    291.37/402.06 = 180.81/x
  3. Step 3: Cross multiply
    291.37x = 402.06 × 180.81
  4. Step 4: Simplify right side
    291.37x = 72,694.73
  5. Step 5: Solve for x
    x = 72,694.73/291.37
  6. Step 6: Final answer
    x = 249.49

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Why These Related Problems?

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