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Finding the Fourth Proportional to 189.54, 283.64 and 166.86

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Solution

The fourth proportional to 189.54, 283.64 and 166.86 is: 249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.54 : 283.64 = 166.86 : x
  2. Step 2: Convert to fraction form
    189.54/283.64 = 166.86/x
  3. Step 3: Cross multiply
    189.54x = 283.64 × 166.86
  4. Step 4: Simplify right side
    189.54x = 47,327.34
  5. Step 5: Solve for x
    x = 47,327.34/189.54
  6. Step 6: Final answer
    x = 249.70

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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.