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Finding the Fourth Proportional to 189.74, 284.12 and 134.60

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Solution

The fourth proportional to 189.74, 284.12 and 134.60 is: 201.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.74 : 284.12 = 134.60 : x
  2. Step 2: Convert to fraction form
    189.74/284.12 = 134.60/x
  3. Step 3: Cross multiply
    189.74x = 284.12 × 134.60
  4. Step 4: Simplify right side
    189.74x = 38,240.46
  5. Step 5: Solve for x
    x = 38,240.46/189.74
  6. Step 6: Final answer
    x = 201.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.