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Finding the Fourth Proportional to 325.14, 487.87 and 142.66

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Solution

The fourth proportional to 325.14, 487.87 and 142.66 is: 214.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.14 : 487.87 = 142.66 : x
  2. Step 2: Convert to fraction form
    325.14/487.87 = 142.66/x
  3. Step 3: Cross multiply
    325.14x = 487.87 × 142.66
  4. Step 4: Simplify right side
    325.14x = 69,600.59
  5. Step 5: Solve for x
    x = 69,600.59/325.14
  6. Step 6: Final answer
    x = 214.06

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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.