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Finding the Fourth Proportional to 150.28, 225.16 and 96.24

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Solution

The fourth proportional to 150.28, 225.16 and 96.24 is: 144.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.28 : 225.16 = 96.24 : x
  2. Step 2: Convert to fraction form
    150.28/225.16 = 96.24/x
  3. Step 3: Cross multiply
    150.28x = 225.16 × 96.24
  4. Step 4: Simplify right side
    150.28x = 21,669.40
  5. Step 5: Solve for x
    x = 21,669.40/150.28
  6. Step 6: Final answer
    x = 144.19

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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.