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Finding the Fourth Proportional to 119.40, 178.03 and 118.34

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Solution

The fourth proportional to 119.40, 178.03 and 118.34 is: 176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.40 : 178.03 = 118.34 : x
  2. Step 2: Convert to fraction form
    119.40/178.03 = 118.34/x
  3. Step 3: Cross multiply
    119.40x = 178.03 × 118.34
  4. Step 4: Simplify right side
    119.40x = 21,067.11
  5. Step 5: Solve for x
    x = 21,067.11/119.40
  6. Step 6: Final answer
    x = 176.44

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Why These Related Problems?

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