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Finding the Fourth Proportional to 192.09, 264.82 and 156.69

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Solution

The fourth proportional to 192.09, 264.82 and 156.69 is: 216.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.09 : 264.82 = 156.69 : x
  2. Step 2: Convert to fraction form
    192.09/264.82 = 156.69/x
  3. Step 3: Cross multiply
    192.09x = 264.82 × 156.69
  4. Step 4: Simplify right side
    192.09x = 41,494.65
  5. Step 5: Solve for x
    x = 41,494.65/192.09
  6. Step 6: Final answer
    x = 216.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.