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Finding the Fourth Proportional to 192.50, 265.64 and 105.17

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Solution

The fourth proportional to 192.50, 265.64 and 105.17 is: 145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.50 : 265.64 = 105.17 : x
  2. Step 2: Convert to fraction form
    192.50/265.64 = 105.17/x
  3. Step 3: Cross multiply
    192.50x = 265.64 × 105.17
  4. Step 4: Simplify right side
    192.50x = 27,936.03
  5. Step 5: Solve for x
    x = 27,936.03/192.50
  6. Step 6: Final answer
    x = 145.13

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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.