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Finding the Fourth Proportional to 306.44, 459.83 and 144.13

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Solution

The fourth proportional to 306.44, 459.83 and 144.13 is: 216.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.44 : 459.83 = 144.13 : x
  2. Step 2: Convert to fraction form
    306.44/459.83 = 144.13/x
  3. Step 3: Cross multiply
    306.44x = 459.83 × 144.13
  4. Step 4: Simplify right side
    306.44x = 66,275.30
  5. Step 5: Solve for x
    x = 66,275.30/306.44
  6. Step 6: Final answer
    x = 216.27

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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.