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Finding the Fourth Proportional to 189.89, 283.45 and 144.03

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Solution

The fourth proportional to 189.89, 283.45 and 144.03 is: 214.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.89 : 283.45 = 144.03 : x
  2. Step 2: Convert to fraction form
    189.89/283.45 = 144.03/x
  3. Step 3: Cross multiply
    189.89x = 283.45 × 144.03
  4. Step 4: Simplify right side
    189.89x = 40,824.68
  5. Step 5: Solve for x
    x = 40,824.68/189.89
  6. Step 6: Final answer
    x = 214.99

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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.