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Finding the Fourth Proportional to 192.48, 265.34 and 164.72

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Solution

The fourth proportional to 192.48, 265.34 and 164.72 is: 227.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.48 : 265.34 = 164.72 : x
  2. Step 2: Convert to fraction form
    192.48/265.34 = 164.72/x
  3. Step 3: Cross multiply
    192.48x = 265.34 × 164.72
  4. Step 4: Simplify right side
    192.48x = 43,706.80
  5. Step 5: Solve for x
    x = 43,706.80/192.48
  6. Step 6: Final answer
    x = 227.07

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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.