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Finding the Fourth Proportional to 289.68, 399.84 and 173.28

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Solution

The fourth proportional to 289.68, 399.84 and 173.28 is: 239.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.68 : 399.84 = 173.28 : x
  2. Step 2: Convert to fraction form
    289.68/399.84 = 173.28/x
  3. Step 3: Cross multiply
    289.68x = 399.84 × 173.28
  4. Step 4: Simplify right side
    289.68x = 69,284.28
  5. Step 5: Solve for x
    x = 69,284.28/289.68
  6. Step 6: Final answer
    x = 239.18

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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.