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Finding the Fourth Proportional to 189.97, 285 and 153.74

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Solution

The fourth proportional to 189.97, 285 and 153.74 is: 230.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.97 : 285 = 153.74 : x
  2. Step 2: Convert to fraction form
    189.97/285 = 153.74/x
  3. Step 3: Cross multiply
    189.97x = 285 × 153.74
  4. Step 4: Simplify right side
    189.97x = 43,815.90
  5. Step 5: Solve for x
    x = 43,815.90/189.97
  6. Step 6: Final answer
    x = 230.65

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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.