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Finding the Fourth Proportional to 192.71, 289.53 and 158.51

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Solution

The fourth proportional to 192.71, 289.53 and 158.51 is: 238.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.71 : 289.53 = 158.51 : x
  2. Step 2: Convert to fraction form
    192.71/289.53 = 158.51/x
  3. Step 3: Cross multiply
    192.71x = 289.53 × 158.51
  4. Step 4: Simplify right side
    192.71x = 45,891.95
  5. Step 5: Solve for x
    x = 45,891.95/192.71
  6. Step 6: Final answer
    x = 238.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.