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Finding the Fourth Proportional to 325.46, 487.86 and 142.82

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Solution

The fourth proportional to 325.46, 487.86 and 142.82 is: 214.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.46 : 487.86 = 142.82 : x
  2. Step 2: Convert to fraction form
    325.46/487.86 = 142.82/x
  3. Step 3: Cross multiply
    325.46x = 487.86 × 142.82
  4. Step 4: Simplify right side
    325.46x = 69,676.17
  5. Step 5: Solve for x
    x = 69,676.17/325.46
  6. Step 6: Final answer
    x = 214.09

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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.