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Finding the Fourth Proportional to 164.65, 247.09 and 96.08

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Solution

The fourth proportional to 164.65, 247.09 and 96.08 is: 144.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.65 : 247.09 = 96.08 : x
  2. Step 2: Convert to fraction form
    164.65/247.09 = 96.08/x
  3. Step 3: Cross multiply
    164.65x = 247.09 × 96.08
  4. Step 4: Simplify right side
    164.65x = 23,740.78
  5. Step 5: Solve for x
    x = 23,740.78/164.65
  6. Step 6: Final answer
    x = 144.19

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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.