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Finding the Fourth Proportional to 294.47, 406.23 and 189.51

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Solution

The fourth proportional to 294.47, 406.23 and 189.51 is: 261.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.47 : 406.23 = 189.51 : x
  2. Step 2: Convert to fraction form
    294.47/406.23 = 189.51/x
  3. Step 3: Cross multiply
    294.47x = 406.23 × 189.51
  4. Step 4: Simplify right side
    294.47x = 76,984.65
  5. Step 5: Solve for x
    x = 76,984.65/294.47
  6. Step 6: Final answer
    x = 261.43

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