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Finding the Fourth Proportional to 192.30, 265.40 and 118.64

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Solution

The fourth proportional to 192.30, 265.40 and 118.64 is: 163.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.30 : 265.40 = 118.64 : x
  2. Step 2: Convert to fraction form
    192.30/265.40 = 118.64/x
  3. Step 3: Cross multiply
    192.30x = 265.40 × 118.64
  4. Step 4: Simplify right side
    192.30x = 31,487.06
  5. Step 5: Solve for x
    x = 31,487.06/192.30
  6. Step 6: Final answer
    x = 163.74

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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.