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Finding the Fourth Proportional to 144.16, 214.73 and 142.27

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Solution

The fourth proportional to 144.16, 214.73 and 142.27 is: 211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.16 : 214.73 = 142.27 : x
  2. Step 2: Convert to fraction form
    144.16/214.73 = 142.27/x
  3. Step 3: Cross multiply
    144.16x = 214.73 × 142.27
  4. Step 4: Simplify right side
    144.16x = 30,549.64
  5. Step 5: Solve for x
    x = 30,549.64/144.16
  6. Step 6: Final answer
    x = 211.91

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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.