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Finding the Fourth Proportional to 291.46, 401.92 and 180.90

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Solution

The fourth proportional to 291.46, 401.92 and 180.90 is: 249.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.46 : 401.92 = 180.90 : x
  2. Step 2: Convert to fraction form
    291.46/401.92 = 180.90/x
  3. Step 3: Cross multiply
    291.46x = 401.92 × 180.90
  4. Step 4: Simplify right side
    291.46x = 72,707.33
  5. Step 5: Solve for x
    x = 72,707.33/291.46
  6. Step 6: Final answer
    x = 249.46

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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.