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Finding the Fourth Proportional to 150.94, 225.32 and 147.28

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Solution

The fourth proportional to 150.94, 225.32 and 147.28 is: 219.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.94 : 225.32 = 147.28 : x
  2. Step 2: Convert to fraction form
    150.94/225.32 = 147.28/x
  3. Step 3: Cross multiply
    150.94x = 225.32 × 147.28
  4. Step 4: Simplify right side
    150.94x = 33,185.13
  5. Step 5: Solve for x
    x = 33,185.13/150.94
  6. Step 6: Final answer
    x = 219.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.