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Finding the Fourth Proportional to 254, 380.92 and 189.84

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Solution

The fourth proportional to 254, 380.92 and 189.84 is: 284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    254 : 380.92 = 189.84 : x
  2. Step 2: Convert to fraction form
    254/380.92 = 189.84/x
  3. Step 3: Cross multiply
    254x = 380.92 × 189.84
  4. Step 4: Simplify right side
    254x = 72,313.85
  5. Step 5: Solve for x
    x = 72,313.85/254
  6. Step 6: Final answer
    x = 284.70

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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.