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Finding the Fourth Proportional to 285.54, 393.96 and 174.97

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Solution

The fourth proportional to 285.54, 393.96 and 174.97 is: 241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.54 : 393.96 = 174.97 : x
  2. Step 2: Convert to fraction form
    285.54/393.96 = 174.97/x
  3. Step 3: Cross multiply
    285.54x = 393.96 × 174.97
  4. Step 4: Simplify right side
    285.54x = 68,931.18
  5. Step 5: Solve for x
    x = 68,931.18/285.54
  6. Step 6: Final answer
    x = 241.41

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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.