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Finding the Fourth Proportional to 189.42, 284.00 and 73.88

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Solution

The fourth proportional to 189.42, 284.00 and 73.88 is: 110.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.42 : 284.00 = 73.88 : x
  2. Step 2: Convert to fraction form
    189.42/284.00 = 73.88/x
  3. Step 3: Cross multiply
    189.42x = 284.00 × 73.88
  4. Step 4: Simplify right side
    189.42x = 20,981.00
  5. Step 5: Solve for x
    x = 20,981.00/189.42
  6. Step 6: Final answer
    x = 110.76

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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.