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Finding the Fourth Proportional to 444.64, 667.06 and 136.50

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Solution

The fourth proportional to 444.64, 667.06 and 136.50 is: 204.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.64 : 667.06 = 136.50 : x
  2. Step 2: Convert to fraction form
    444.64/667.06 = 136.50/x
  3. Step 3: Cross multiply
    444.64x = 667.06 × 136.50
  4. Step 4: Simplify right side
    444.64x = 91,053.69
  5. Step 5: Solve for x
    x = 91,053.69/444.64
  6. Step 6: Final answer
    x = 204.78

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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.