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Finding the Fourth Proportional to 192.51, 265.71 and 109.64

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Solution

The fourth proportional to 192.51, 265.71 and 109.64 is: 151.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.51 : 265.71 = 109.64 : x
  2. Step 2: Convert to fraction form
    192.51/265.71 = 109.64/x
  3. Step 3: Cross multiply
    192.51x = 265.71 × 109.64
  4. Step 4: Simplify right side
    192.51x = 29,131.23
  5. Step 5: Solve for x
    x = 29,131.23/192.51
  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.