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Finding the Fourth Proportional to 285.30, 393.66 and 174.73

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Solution

The fourth proportional to 285.30, 393.66 and 174.73 is: 241.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.30 : 393.66 = 174.73 : x
  2. Step 2: Convert to fraction form
    285.30/393.66 = 174.73/x
  3. Step 3: Cross multiply
    285.30x = 393.66 × 174.73
  4. Step 4: Simplify right side
    285.30x = 68,784.21
  5. Step 5: Solve for x
    x = 68,784.21/285.30
  6. Step 6: Final answer
    x = 241.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.