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Finding the Fourth Proportional to 240.13, 359.21 and 181.92

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Solution

The fourth proportional to 240.13, 359.21 and 181.92 is: 272.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.13 : 359.21 = 181.92 : x
  2. Step 2: Convert to fraction form
    240.13/359.21 = 181.92/x
  3. Step 3: Cross multiply
    240.13x = 359.21 × 181.92
  4. Step 4: Simplify right side
    240.13x = 65,347.94
  5. Step 5: Solve for x
    x = 65,347.94/240.13
  6. Step 6: Final answer
    x = 272.14

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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.