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Finding the Fourth Proportional to 192.28, 265.30 and 113.58

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Solution

The fourth proportional to 192.28, 265.30 and 113.58 is: 156.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.28 : 265.30 = 113.58 : x
  2. Step 2: Convert to fraction form
    192.28/265.30 = 113.58/x
  3. Step 3: Cross multiply
    192.28x = 265.30 × 113.58
  4. Step 4: Simplify right side
    192.28x = 30,132.77
  5. Step 5: Solve for x
    x = 30,132.77/192.28
  6. Step 6: Final answer
    x = 156.71

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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.