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Finding the Fourth Proportional to 150.99, 226.49 and 64.31

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Solution

The fourth proportional to 150.99, 226.49 and 64.31 is: 96.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.99 : 226.49 = 64.31 : x
  2. Step 2: Convert to fraction form
    150.99/226.49 = 64.31/x
  3. Step 3: Cross multiply
    150.99x = 226.49 × 64.31
  4. Step 4: Simplify right side
    150.99x = 14,565.67
  5. Step 5: Solve for x
    x = 14,565.67/150.99
  6. Step 6: Final answer
    x = 96.47

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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.