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Finding the Fourth Proportional to 285.10, 393.43 and 160.75

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Solution

The fourth proportional to 285.10, 393.43 and 160.75 is: 221.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.10 : 393.43 = 160.75 : x
  2. Step 2: Convert to fraction form
    285.10/393.43 = 160.75/x
  3. Step 3: Cross multiply
    285.10x = 393.43 × 160.75
  4. Step 4: Simplify right side
    285.10x = 63,243.87
  5. Step 5: Solve for x
    x = 63,243.87/285.10
  6. Step 6: Final answer
    x = 221.83

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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.