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Finding the Fourth Proportional to 189.87, 284.52 and 98.46

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Solution

The fourth proportional to 189.87, 284.52 and 98.46 is: 147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.87 : 284.52 = 98.46 : x
  2. Step 2: Convert to fraction form
    189.87/284.52 = 98.46/x
  3. Step 3: Cross multiply
    189.87x = 284.52 × 98.46
  4. Step 4: Simplify right side
    189.87x = 28,013.84
  5. Step 5: Solve for x
    x = 28,013.84/189.87
  6. Step 6: Final answer
    x = 147.54

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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.