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Finding the Fourth Proportional to 150.85, 208.05 and 98.41

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Solution

The fourth proportional to 150.85, 208.05 and 98.41 is: 135.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.85 : 208.05 = 98.41 : x
  2. Step 2: Convert to fraction form
    150.85/208.05 = 98.41/x
  3. Step 3: Cross multiply
    150.85x = 208.05 × 98.41
  4. Step 4: Simplify right side
    150.85x = 20,472.67
  5. Step 5: Solve for x
    x = 20,472.67/150.85
  6. Step 6: Final answer
    x = 135.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.