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Finding the Fourth Proportional to 294.24, 405.96 and 189.42

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Solution

The fourth proportional to 294.24, 405.96 and 189.42 is: 261.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.24 : 405.96 = 189.42 : x
  2. Step 2: Convert to fraction form
    294.24/405.96 = 189.42/x
  3. Step 3: Cross multiply
    294.24x = 405.96 × 189.42
  4. Step 4: Simplify right side
    294.24x = 76,896.94
  5. Step 5: Solve for x
    x = 76,896.94/294.24
  6. Step 6: Final answer
    x = 261.34

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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.