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Finding the Fourth Proportional to 164.56, 245.96 and 132.52

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Solution

The fourth proportional to 164.56, 245.96 and 132.52 is: 198.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.56 : 245.96 = 132.52 : x
  2. Step 2: Convert to fraction form
    164.56/245.96 = 132.52/x
  3. Step 3: Cross multiply
    164.56x = 245.96 × 132.52
  4. Step 4: Simplify right side
    164.56x = 32,594.62
  5. Step 5: Solve for x
    x = 32,594.62/164.56
  6. Step 6: Final answer
    x = 198.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.