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Finding the Fourth Proportional to 285.37, 428.06 and 131.17

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Solution

The fourth proportional to 285.37, 428.06 and 131.17 is: 196.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.37 : 428.06 = 131.17 : x
  2. Step 2: Convert to fraction form
    285.37/428.06 = 131.17/x
  3. Step 3: Cross multiply
    285.37x = 428.06 × 131.17
  4. Step 4: Simplify right side
    285.37x = 56,148.32
  5. Step 5: Solve for x
    x = 56,148.32/285.37
  6. Step 6: Final answer
    x = 196.75

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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.