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Finding the Fourth Proportional to 240.21, 360.34 and 103.25

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Solution

The fourth proportional to 240.21, 360.34 and 103.25 is: 154.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.21 : 360.34 = 103.25 : x
  2. Step 2: Convert to fraction form
    240.21/360.34 = 103.25/x
  3. Step 3: Cross multiply
    240.21x = 360.34 × 103.25
  4. Step 4: Simplify right side
    240.21x = 37,205.75
  5. Step 5: Solve for x
    x = 37,205.75/240.21
  6. Step 6: Final answer
    x = 154.89

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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.