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Finding the Fourth Proportional to 119.31, 178.13 and 118.02

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Solution

The fourth proportional to 119.31, 178.13 and 118.02 is: 176.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.31 : 178.13 = 118.02 : x
  2. Step 2: Convert to fraction form
    119.31/178.13 = 118.02/x
  3. Step 3: Cross multiply
    119.31x = 178.13 × 118.02
  4. Step 4: Simplify right side
    119.31x = 21,023.87
  5. Step 5: Solve for x
    x = 21,023.87/119.31
  6. Step 6: Final answer
    x = 176.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.