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Finding the Fourth Proportional to 294.59, 406.53 and 163.59

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Solution

The fourth proportional to 294.59, 406.53 and 163.59 is: 225.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.59 : 406.53 = 163.59 : x
  2. Step 2: Convert to fraction form
    294.59/406.53 = 163.59/x
  3. Step 3: Cross multiply
    294.59x = 406.53 × 163.59
  4. Step 4: Simplify right side
    294.59x = 66,504.24
  5. Step 5: Solve for x
    x = 66,504.24/294.59
  6. Step 6: Final answer
    x = 225.75

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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.