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Finding the Fourth Proportional to 192.22, 265.29 and 109.35

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Solution

The fourth proportional to 192.22, 265.29 and 109.35 is: 150.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.22 : 265.29 = 109.35 : x
  2. Step 2: Convert to fraction form
    192.22/265.29 = 109.35/x
  3. Step 3: Cross multiply
    192.22x = 265.29 × 109.35
  4. Step 4: Simplify right side
    192.22x = 29,009.46
  5. Step 5: Solve for x
    x = 29,009.46/192.22
  6. Step 6: Final answer
    x = 150.92

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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.