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Finding the Fourth Proportional to 119.84, 178.32 and 119.20

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Solution

The fourth proportional to 119.84, 178.32 and 119.20 is: 177.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.84 : 178.32 = 119.20 : x
  2. Step 2: Convert to fraction form
    119.84/178.32 = 119.20/x
  3. Step 3: Cross multiply
    119.84x = 178.32 × 119.20
  4. Step 4: Simplify right side
    119.84x = 21,255.74
  5. Step 5: Solve for x
    x = 21,255.74/119.84
  6. Step 6: Final answer
    x = 177.37

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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.