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Finding the Fourth Proportional to 189.67, 283.86 and 135.92

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Solution

The fourth proportional to 189.67, 283.86 and 135.92 is: 203.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.67 : 283.86 = 135.92 : x
  2. Step 2: Convert to fraction form
    189.67/283.86 = 135.92/x
  3. Step 3: Cross multiply
    189.67x = 283.86 × 135.92
  4. Step 4: Simplify right side
    189.67x = 38,580.83
  5. Step 5: Solve for x
    x = 38,580.83/189.67
  6. Step 6: Final answer
    x = 203.41

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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.