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Finding the Fourth Proportional to 306.63, 460.07 and 144.33

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Solution

The fourth proportional to 306.63, 460.07 and 144.33 is: 216.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.63 : 460.07 = 144.33 : x
  2. Step 2: Convert to fraction form
    306.63/460.07 = 144.33/x
  3. Step 3: Cross multiply
    306.63x = 460.07 × 144.33
  4. Step 4: Simplify right side
    306.63x = 66,400.00
  5. Step 5: Solve for x
    x = 66,400.00/306.63
  6. Step 6: Final answer
    x = 216.55

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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.