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Finding the Fourth Proportional to 302.78, 417.74 and 197.97

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Solution

The fourth proportional to 302.78, 417.74 and 197.97 is: 273.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.78 : 417.74 = 197.97 : x
  2. Step 2: Convert to fraction form
    302.78/417.74 = 197.97/x
  3. Step 3: Cross multiply
    302.78x = 417.74 × 197.97
  4. Step 4: Simplify right side
    302.78x = 82,699.00
  5. Step 5: Solve for x
    x = 82,699.00/302.78
  6. Step 6: Final answer
    x = 273.14

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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.