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Finding the Fourth Proportional to 144.90, 216.28 and 142.22

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Solution

The fourth proportional to 144.90, 216.28 and 142.22 is: 212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.90 : 216.28 = 142.22 : x
  2. Step 2: Convert to fraction form
    144.90/216.28 = 142.22/x
  3. Step 3: Cross multiply
    144.90x = 216.28 × 142.22
  4. Step 4: Simplify right side
    144.90x = 30,759.34
  5. Step 5: Solve for x
    x = 30,759.34/144.90
  6. Step 6: Final answer
    x = 212.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.