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Finding the Fourth Proportional to 164.81, 246.81 and 96.16

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Solution

The fourth proportional to 164.81, 246.81 and 96.16 is: 144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.81 : 246.81 = 96.16 : x
  2. Step 2: Convert to fraction form
    164.81/246.81 = 96.16/x
  3. Step 3: Cross multiply
    164.81x = 246.81 × 96.16
  4. Step 4: Simplify right side
    164.81x = 23,733.25
  5. Step 5: Solve for x
    x = 23,733.25/164.81
  6. Step 6: Final answer
    x = 144.00

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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.