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Finding the Fourth Proportional to 240.68, 360.14 and 213.96

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Solution

The fourth proportional to 240.68, 360.14 and 213.96 is: 320.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.68 : 360.14 = 213.96 : x
  2. Step 2: Convert to fraction form
    240.68/360.14 = 213.96/x
  3. Step 3: Cross multiply
    240.68x = 360.14 × 213.96
  4. Step 4: Simplify right side
    240.68x = 77,055.55
  5. Step 5: Solve for x
    x = 77,055.55/240.68
  6. Step 6: Final answer
    x = 320.16

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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.