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Finding the Fourth Proportional to 418.81, 628.23 and 144.93

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Solution

The fourth proportional to 418.81, 628.23 and 144.93 is: 217.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.81 : 628.23 = 144.93 : x
  2. Step 2: Convert to fraction form
    418.81/628.23 = 144.93/x
  3. Step 3: Cross multiply
    418.81x = 628.23 × 144.93
  4. Step 4: Simplify right side
    418.81x = 91,049.37
  5. Step 5: Solve for x
    x = 91,049.37/418.81
  6. Step 6: Final answer
    x = 217.40

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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.