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Finding the Fourth Proportional to 150.74, 207.96 and 98.31

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Solution

The fourth proportional to 150.74, 207.96 and 98.31 is: 135.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.74 : 207.96 = 98.31 : x
  2. Step 2: Convert to fraction form
    150.74/207.96 = 98.31/x
  3. Step 3: Cross multiply
    150.74x = 207.96 × 98.31
  4. Step 4: Simplify right side
    150.74x = 20,443.77
  5. Step 5: Solve for x
    x = 20,443.77/150.74
  6. Step 6: Final answer
    x = 135.62

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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.