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Finding the Fourth Proportional to 288.24, 397.56 and 194.94

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Solution

The fourth proportional to 288.24, 397.56 and 194.94 is: 268.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.24 : 397.56 = 194.94 : x
  2. Step 2: Convert to fraction form
    288.24/397.56 = 194.94/x
  3. Step 3: Cross multiply
    288.24x = 397.56 × 194.94
  4. Step 4: Simplify right side
    288.24x = 77,500.35
  5. Step 5: Solve for x
    x = 77,500.35/288.24
  6. Step 6: Final answer
    x = 268.87

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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.