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Finding the Fourth Proportional to 230.44, 346.00 and 144.14

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Solution

The fourth proportional to 230.44, 346.00 and 144.14 is: 216.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.44 : 346.00 = 144.14 : x
  2. Step 2: Convert to fraction form
    230.44/346.00 = 144.14/x
  3. Step 3: Cross multiply
    230.44x = 346.00 × 144.14
  4. Step 4: Simplify right side
    230.44x = 49,871.72
  5. Step 5: Solve for x
    x = 49,871.72/230.44
  6. Step 6: Final answer
    x = 216.42

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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.