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Finding the Fourth Proportional to 240.21, 330.89 and 203.13

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Solution

The fourth proportional to 240.21, 330.89 and 203.13 is: 279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.21 : 330.89 = 203.13 : x
  2. Step 2: Convert to fraction form
    240.21/330.89 = 203.13/x
  3. Step 3: Cross multiply
    240.21x = 330.89 × 203.13
  4. Step 4: Simplify right side
    240.21x = 67,212.67
  5. Step 5: Solve for x
    x = 67,212.67/240.21
  6. Step 6: Final answer
    x = 279.81

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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.