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Finding the Fourth Proportional to 307.22, 460.42 and 144.68

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Solution

The fourth proportional to 307.22, 460.42 and 144.68 is: 216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.22 : 460.42 = 144.68 : x
  2. Step 2: Convert to fraction form
    307.22/460.42 = 144.68/x
  3. Step 3: Cross multiply
    307.22x = 460.42 × 144.68
  4. Step 4: Simplify right side
    307.22x = 66,610.90
  5. Step 5: Solve for x
    x = 66,610.90/307.22
  6. Step 6: Final answer
    x = 216.82

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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.