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Finding the Fourth Proportional to 150.82, 226.32 and 64.15

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Solution

The fourth proportional to 150.82, 226.32 and 64.15 is: 96.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.82 : 226.32 = 64.15 : x
  2. Step 2: Convert to fraction form
    150.82/226.32 = 64.15/x
  3. Step 3: Cross multiply
    150.82x = 226.32 × 64.15
  4. Step 4: Simplify right side
    150.82x = 14,518.43
  5. Step 5: Solve for x
    x = 14,518.43/150.82
  6. Step 6: Final answer
    x = 96.26

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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.