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Finding the Fourth Proportional to 164.75, 227.31 and 98.35

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Solution

The fourth proportional to 164.75, 227.31 and 98.35 is: 135.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.75 : 227.31 = 98.35 : x
  2. Step 2: Convert to fraction form
    164.75/227.31 = 98.35/x
  3. Step 3: Cross multiply
    164.75x = 227.31 × 98.35
  4. Step 4: Simplify right side
    164.75x = 22,355.74
  5. Step 5: Solve for x
    x = 22,355.74/164.75
  6. Step 6: Final answer
    x = 135.70

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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.