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Finding the Fourth Proportional to 306.75, 459.96 and 144.33

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Solution

The fourth proportional to 306.75, 459.96 and 144.33 is: 216.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.75 : 459.96 = 144.33 : x
  2. Step 2: Convert to fraction form
    306.75/459.96 = 144.33/x
  3. Step 3: Cross multiply
    306.75x = 459.96 × 144.33
  4. Step 4: Simplify right side
    306.75x = 66,386.03
  5. Step 5: Solve for x
    x = 66,386.03/306.75
  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.