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Finding the Fourth Proportional to 189.32, 283.98 and 73.76

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Solution

The fourth proportional to 189.32, 283.98 and 73.76 is: 110.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.32 : 283.98 = 73.76 : x
  2. Step 2: Convert to fraction form
    189.32/283.98 = 73.76/x
  3. Step 3: Cross multiply
    189.32x = 283.98 × 73.76
  4. Step 4: Simplify right side
    189.32x = 20,945.30
  5. Step 5: Solve for x
    x = 20,945.30/189.32
  6. Step 6: Final answer
    x = 110.64

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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.