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Finding the Fourth Proportional to 285.60, 427.84 and 141.44

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Solution

The fourth proportional to 285.60, 427.84 and 141.44 is: 211.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.60 : 427.84 = 141.44 : x
  2. Step 2: Convert to fraction form
    285.60/427.84 = 141.44/x
  3. Step 3: Cross multiply
    285.60x = 427.84 × 141.44
  4. Step 4: Simplify right side
    285.60x = 60,513.69
  5. Step 5: Solve for x
    x = 60,513.69/285.60
  6. Step 6: Final answer
    x = 211.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.