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Finding the Fourth Proportional to 315.72, 435.78 and 197.73

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Solution

The fourth proportional to 315.72, 435.78 and 197.73 is: 272.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.72 : 435.78 = 197.73 : x
  2. Step 2: Convert to fraction form
    315.72/435.78 = 197.73/x
  3. Step 3: Cross multiply
    315.72x = 435.78 × 197.73
  4. Step 4: Simplify right side
    315.72x = 86,166.78
  5. Step 5: Solve for x
    x = 86,166.78/315.72
  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.