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Finding the Fourth Proportional to 228.73, 315.76 and 166.45

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Solution

The fourth proportional to 228.73, 315.76 and 166.45 is: 229.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.73 : 315.76 = 166.45 : x
  2. Step 2: Convert to fraction form
    228.73/315.76 = 166.45/x
  3. Step 3: Cross multiply
    228.73x = 315.76 × 166.45
  4. Step 4: Simplify right side
    228.73x = 52,556.67
  5. Step 5: Solve for x
    x = 52,556.67/228.73
  6. Step 6: Final answer
    x = 229.78

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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.