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Finding the Fourth Proportional to 119.87, 178.35 and 119.46

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Solution

The fourth proportional to 119.87, 178.35 and 119.46 is: 177.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.87 : 178.35 = 119.46 : x
  2. Step 2: Convert to fraction form
    119.87/178.35 = 119.46/x
  3. Step 3: Cross multiply
    119.87x = 178.35 × 119.46
  4. Step 4: Simplify right side
    119.87x = 21,305.69
  5. Step 5: Solve for x
    x = 21,305.69/119.87
  6. Step 6: Final answer
    x = 177.75

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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.