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Finding the Fourth Proportional to 164.83, 246.93 and 154.84

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Solution

The fourth proportional to 164.83, 246.93 and 154.84 is: 231.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.83 : 246.93 = 154.84 : x
  2. Step 2: Convert to fraction form
    164.83/246.93 = 154.84/x
  3. Step 3: Cross multiply
    164.83x = 246.93 × 154.84
  4. Step 4: Simplify right side
    164.83x = 38,234.64
  5. Step 5: Solve for x
    x = 38,234.64/164.83
  6. Step 6: Final answer
    x = 231.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.