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Finding the Fourth Proportional to 150.76, 208.14 and 98.35

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Solution

The fourth proportional to 150.76, 208.14 and 98.35 is: 135.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.76 : 208.14 = 98.35 : x
  2. Step 2: Convert to fraction form
    150.76/208.14 = 98.35/x
  3. Step 3: Cross multiply
    150.76x = 208.14 × 98.35
  4. Step 4: Simplify right side
    150.76x = 20,470.57
  5. Step 5: Solve for x
    x = 20,470.57/150.76
  6. Step 6: Final answer
    x = 135.78

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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.