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Finding the Fourth Proportional to 192.34, 265.43 and 105.02

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Solution

The fourth proportional to 192.34, 265.43 and 105.02 is: 144.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.34 : 265.43 = 105.02 : x
  2. Step 2: Convert to fraction form
    192.34/265.43 = 105.02/x
  3. Step 3: Cross multiply
    192.34x = 265.43 × 105.02
  4. Step 4: Simplify right side
    192.34x = 27,875.46
  5. Step 5: Solve for x
    x = 27,875.46/192.34
  6. Step 6: Final answer
    x = 144.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.