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Finding the Fourth Proportional to 144.30, 216.57 and 142.14

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Solution

The fourth proportional to 144.30, 216.57 and 142.14 is: 213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.30 : 216.57 = 142.14 : x
  2. Step 2: Convert to fraction form
    144.30/216.57 = 142.14/x
  3. Step 3: Cross multiply
    144.30x = 216.57 × 142.14
  4. Step 4: Simplify right side
    144.30x = 30,783.26
  5. Step 5: Solve for x
    x = 30,783.26/144.30
  6. Step 6: Final answer
    x = 213.33

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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.