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Finding the Fourth Proportional to 189.90, 284.73 and 98.63

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Solution

The fourth proportional to 189.90, 284.73 and 98.63 is: 147.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.90 : 284.73 = 98.63 : x
  2. Step 2: Convert to fraction form
    189.90/284.73 = 98.63/x
  3. Step 3: Cross multiply
    189.90x = 284.73 × 98.63
  4. Step 4: Simplify right side
    189.90x = 28,081.50
  5. Step 5: Solve for x
    x = 28,081.50/189.90
  6. Step 6: Final answer
    x = 147.88

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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.