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Finding the Fourth Proportional to 192.53, 265.68 and 109.63

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Solution

The fourth proportional to 192.53, 265.68 and 109.63 is: 151.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.53 : 265.68 = 109.63 : x
  2. Step 2: Convert to fraction form
    192.53/265.68 = 109.63/x
  3. Step 3: Cross multiply
    192.53x = 265.68 × 109.63
  4. Step 4: Simplify right side
    192.53x = 29,127.49
  5. Step 5: Solve for x
    x = 29,127.49/192.53
  6. Step 6: Final answer
    x = 151.29

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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.