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Finding the Fourth Proportional to 285.80, 428.36 and 141.21

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Solution

The fourth proportional to 285.80, 428.36 and 141.21 is: 211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.80 : 428.36 = 141.21 : x
  2. Step 2: Convert to fraction form
    285.80/428.36 = 141.21/x
  3. Step 3: Cross multiply
    285.80x = 428.36 × 141.21
  4. Step 4: Simplify right side
    285.80x = 60,488.01
  5. Step 5: Solve for x
    x = 60,488.01/285.80
  6. Step 6: Final answer
    x = 211.65

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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.