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Finding the Fourth Proportional to 229.72, 316.64 and 198

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Solution

The fourth proportional to 229.72, 316.64 and 198 is: 272.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.72 : 316.64 = 198 : x
  2. Step 2: Convert to fraction form
    229.72/316.64 = 198/x
  3. Step 3: Cross multiply
    229.72x = 316.64 × 198
  4. Step 4: Simplify right side
    229.72x = 62,694.72
  5. Step 5: Solve for x
    x = 62,694.72/229.72
  6. Step 6: Final answer
    x = 272.92

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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.