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Finding the Fourth Proportional to 285.22, 393.54 and 174.70

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Solution

The fourth proportional to 285.22, 393.54 and 174.70 is: 241.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.22 : 393.54 = 174.70 : x
  2. Step 2: Convert to fraction form
    285.22/393.54 = 174.70/x
  3. Step 3: Cross multiply
    285.22x = 393.54 × 174.70
  4. Step 4: Simplify right side
    285.22x = 68,751.44
  5. Step 5: Solve for x
    x = 68,751.44/285.22
  6. Step 6: Final answer
    x = 241.05

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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.