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Finding the Fourth Proportional to 164.63, 246.80 and 95.99

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Solution

The fourth proportional to 164.63, 246.80 and 95.99 is: 143.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.63 : 246.80 = 95.99 : x
  2. Step 2: Convert to fraction form
    164.63/246.80 = 95.99/x
  3. Step 3: Cross multiply
    164.63x = 246.80 × 95.99
  4. Step 4: Simplify right side
    164.63x = 23,688.80
  5. Step 5: Solve for x
    x = 23,688.80/164.63
  6. Step 6: Final answer
    x = 143.89

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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.