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Finding the Fourth Proportional to 150.58, 226.32 and 147.39

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Solution

The fourth proportional to 150.58, 226.32 and 147.39 is: 221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.58 : 226.32 = 147.39 : x
  2. Step 2: Convert to fraction form
    150.58/226.32 = 147.39/x
  3. Step 3: Cross multiply
    150.58x = 226.32 × 147.39
  4. Step 4: Simplify right side
    150.58x = 33,355.44
  5. Step 5: Solve for x
    x = 33,355.44/150.58
  6. Step 6: Final answer
    x = 221.52

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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.