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Finding the Fourth Proportional to 189.96, 284.53 and 184.49

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Solution

The fourth proportional to 189.96, 284.53 and 184.49 is: 276.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.96 : 284.53 = 184.49 : x
  2. Step 2: Convert to fraction form
    189.96/284.53 = 184.49/x
  3. Step 3: Cross multiply
    189.96x = 284.53 × 184.49
  4. Step 4: Simplify right side
    189.96x = 52,492.94
  5. Step 5: Solve for x
    x = 52,492.94/189.96
  6. Step 6: Final answer
    x = 276.34

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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.