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Finding the Fourth Proportional to 218.96, 328.44 and 150.28

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Solution

The fourth proportional to 218.96, 328.44 and 150.28 is: 225.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.96 : 328.44 = 150.28 : x
  2. Step 2: Convert to fraction form
    218.96/328.44 = 150.28/x
  3. Step 3: Cross multiply
    218.96x = 328.44 × 150.28
  4. Step 4: Simplify right side
    218.96x = 49,356.70
  5. Step 5: Solve for x
    x = 49,356.70/218.96
  6. Step 6: Final answer
    x = 225.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.