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Finding the Fourth Proportional to 284.48, 427 and 140.48

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Solution

The fourth proportional to 284.48, 427 and 140.48 is: 210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.48 : 427 = 140.48 : x
  2. Step 2: Convert to fraction form
    284.48/427 = 140.48/x
  3. Step 3: Cross multiply
    284.48x = 427 × 140.48
  4. Step 4: Simplify right side
    284.48x = 59,984.96
  5. Step 5: Solve for x
    x = 59,984.96/284.48
  6. Step 6: Final answer
    x = 210.86

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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.