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Finding the Fourth Proportional to 219.54, 328.71 and 150.25

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Solution

The fourth proportional to 219.54, 328.71 and 150.25 is: 224.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.54 : 328.71 = 150.25 : x
  2. Step 2: Convert to fraction form
    219.54/328.71 = 150.25/x
  3. Step 3: Cross multiply
    219.54x = 328.71 × 150.25
  4. Step 4: Simplify right side
    219.54x = 49,387.86
  5. Step 5: Solve for x
    x = 49,387.86/219.54
  6. Step 6: Final answer
    x = 224.96

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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.