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Finding the Fourth Proportional to 294.24, 405.93 and 189.31

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Solution

The fourth proportional to 294.24, 405.93 and 189.31 is: 261.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.24 : 405.93 = 189.31 : x
  2. Step 2: Convert to fraction form
    294.24/405.93 = 189.31/x
  3. Step 3: Cross multiply
    294.24x = 405.93 × 189.31
  4. Step 4: Simplify right side
    294.24x = 76,843.63
  5. Step 5: Solve for x
    x = 76,843.63/294.24
  6. Step 6: Final answer
    x = 261.16

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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.