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Finding the Fourth Proportional to 218.75, 328.22 and 103.12

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Solution

The fourth proportional to 218.75, 328.22 and 103.12 is: 154.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.75 : 328.22 = 103.12 : x
  2. Step 2: Convert to fraction form
    218.75/328.22 = 103.12/x
  3. Step 3: Cross multiply
    218.75x = 328.22 × 103.12
  4. Step 4: Simplify right side
    218.75x = 33,845.10
  5. Step 5: Solve for x
    x = 33,845.10/218.75
  6. Step 6: Final answer
    x = 154.72

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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.