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Finding the Fourth Proportional to 228.92, 316.02 and 173.69

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Solution

The fourth proportional to 228.92, 316.02 and 173.69 is: 239.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.92 : 316.02 = 173.69 : x
  2. Step 2: Convert to fraction form
    228.92/316.02 = 173.69/x
  3. Step 3: Cross multiply
    228.92x = 316.02 × 173.69
  4. Step 4: Simplify right side
    228.92x = 54,889.51
  5. Step 5: Solve for x
    x = 54,889.51/228.92
  6. Step 6: Final answer
    x = 239.78

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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.