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Finding the Fourth Proportional to 150.74, 226.04 and 96.98

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Solution

The fourth proportional to 150.74, 226.04 and 96.98 is: 145.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.74 : 226.04 = 96.98 : x
  2. Step 2: Convert to fraction form
    150.74/226.04 = 96.98/x
  3. Step 3: Cross multiply
    150.74x = 226.04 × 96.98
  4. Step 4: Simplify right side
    150.74x = 21,920.47
  5. Step 5: Solve for x
    x = 21,920.47/150.74
  6. Step 6: Final answer
    x = 145.42

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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.