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Finding the Fourth Proportional to 376.48, 564.46 and 142.12

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Solution

The fourth proportional to 376.48, 564.46 and 142.12 is: 213.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.48 : 564.46 = 142.12 : x
  2. Step 2: Convert to fraction form
    376.48/564.46 = 142.12/x
  3. Step 3: Cross multiply
    376.48x = 564.46 × 142.12
  4. Step 4: Simplify right side
    376.48x = 80,221.06
  5. Step 5: Solve for x
    x = 80,221.06/376.48
  6. Step 6: Final answer
    x = 213.08

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Why These Related Problems?

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