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Finding the Fourth Proportional to 285.70, 428.79 and 131.83

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Solution

The fourth proportional to 285.70, 428.79 and 131.83 is: 197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.70 : 428.79 = 131.83 : x
  2. Step 2: Convert to fraction form
    285.70/428.79 = 131.83/x
  3. Step 3: Cross multiply
    285.70x = 428.79 × 131.83
  4. Step 4: Simplify right side
    285.70x = 56,526.81
  5. Step 5: Solve for x
    x = 56,526.81/285.70
  6. Step 6: Final answer
    x = 197.85

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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.