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Finding the Fourth Proportional to 252.93, 349.14 and 197.45

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Solution

The fourth proportional to 252.93, 349.14 and 197.45 is: 272.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.93 : 349.14 = 197.45 : x
  2. Step 2: Convert to fraction form
    252.93/349.14 = 197.45/x
  3. Step 3: Cross multiply
    252.93x = 349.14 × 197.45
  4. Step 4: Simplify right side
    252.93x = 68,937.69
  5. Step 5: Solve for x
    x = 68,937.69/252.93
  6. Step 6: Final answer
    x = 272.56

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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.