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Finding the Fourth Proportional to 164.76, 245.43 and 155.64

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Solution

The fourth proportional to 164.76, 245.43 and 155.64 is: 231.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.76 : 245.43 = 155.64 : x
  2. Step 2: Convert to fraction form
    164.76/245.43 = 155.64/x
  3. Step 3: Cross multiply
    164.76x = 245.43 × 155.64
  4. Step 4: Simplify right side
    164.76x = 38,198.73
  5. Step 5: Solve for x
    x = 38,198.73/164.76
  6. Step 6: Final answer
    x = 231.84

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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.