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Finding the Fourth Proportional to 144.16, 213.54 and 142.54

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Solution

The fourth proportional to 144.16, 213.54 and 142.54 is: 211.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.16 : 213.54 = 142.54 : x
  2. Step 2: Convert to fraction form
    144.16/213.54 = 142.54/x
  3. Step 3: Cross multiply
    144.16x = 213.54 × 142.54
  4. Step 4: Simplify right side
    144.16x = 30,437.99
  5. Step 5: Solve for x
    x = 30,437.99/144.16
  6. Step 6: Final answer
    x = 211.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.