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Finding the Fourth Proportional to 189.97, 283.46 and 178.36

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Solution

The fourth proportional to 189.97, 283.46 and 178.36 is: 266.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.97 : 283.46 = 178.36 : x
  2. Step 2: Convert to fraction form
    189.97/283.46 = 178.36/x
  3. Step 3: Cross multiply
    189.97x = 283.46 × 178.36
  4. Step 4: Simplify right side
    189.97x = 50,557.33
  5. Step 5: Solve for x
    x = 50,557.33/189.97
  6. Step 6: Final answer
    x = 266.14

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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.