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Finding the Fourth Proportional to 147.94, 222.09 and 142.14

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Solution

The fourth proportional to 147.94, 222.09 and 142.14 is: 213.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.94 : 222.09 = 142.14 : x
  2. Step 2: Convert to fraction form
    147.94/222.09 = 142.14/x
  3. Step 3: Cross multiply
    147.94x = 222.09 × 142.14
  4. Step 4: Simplify right side
    147.94x = 31,567.87
  5. Step 5: Solve for x
    x = 31,567.87/147.94
  6. Step 6: Final answer
    x = 213.38

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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.