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Finding the Fourth Proportional to 144.36, 216.27 and 142.74

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Solution

The fourth proportional to 144.36, 216.27 and 142.74 is: 213.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.36 : 216.27 = 142.74 : x
  2. Step 2: Convert to fraction form
    144.36/216.27 = 142.74/x
  3. Step 3: Cross multiply
    144.36x = 216.27 × 142.74
  4. Step 4: Simplify right side
    144.36x = 30,870.38
  5. Step 5: Solve for x
    x = 30,870.38/144.36
  6. Step 6: Final answer
    x = 213.84

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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.