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Finding the Fourth Proportional to 291.29, 401.92 and 173.23

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Solution

The fourth proportional to 291.29, 401.92 and 173.23 is: 239.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.29 : 401.92 = 173.23 : x
  2. Step 2: Convert to fraction form
    291.29/401.92 = 173.23/x
  3. Step 3: Cross multiply
    291.29x = 401.92 × 173.23
  4. Step 4: Simplify right side
    291.29x = 69,623.16
  5. Step 5: Solve for x
    x = 69,623.16/291.29
  6. Step 6: Final answer
    x = 239.02

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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.