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Finding the Fourth Proportional to 192.53, 265.70 and 109.66

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Solution

The fourth proportional to 192.53, 265.70 and 109.66 is: 151.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.53 : 265.70 = 109.66 : x
  2. Step 2: Convert to fraction form
    192.53/265.70 = 109.66/x
  3. Step 3: Cross multiply
    192.53x = 265.70 × 109.66
  4. Step 4: Simplify right side
    192.53x = 29,135.45
  5. Step 5: Solve for x
    x = 29,135.45/192.53
  6. Step 6: Final answer
    x = 151.33

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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.