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Finding the Fourth Proportional to 189.05, 260.33 and 184.79

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Solution

The fourth proportional to 189.05, 260.33 and 184.79 is: 254.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.05 : 260.33 = 184.79 : x
  2. Step 2: Convert to fraction form
    189.05/260.33 = 184.79/x
  3. Step 3: Cross multiply
    189.05x = 260.33 × 184.79
  4. Step 4: Simplify right side
    189.05x = 48,104.16
  5. Step 5: Solve for x
    x = 48,104.16/189.05
  6. Step 6: Final answer
    x = 254.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.