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Finding the Fourth Proportional to 164.70, 246.75 and 96.16

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Solution

The fourth proportional to 164.70, 246.75 and 96.16 is: 144.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.70 : 246.75 = 96.16 : x
  2. Step 2: Convert to fraction form
    164.70/246.75 = 96.16/x
  3. Step 3: Cross multiply
    164.70x = 246.75 × 96.16
  4. Step 4: Simplify right side
    164.70x = 23,727.48
  5. Step 5: Solve for x
    x = 23,727.48/164.70
  6. Step 6: Final answer
    x = 144.07

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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.