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Finding the Fourth Proportional to 307.09, 460.47 and 144.63

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Solution

The fourth proportional to 307.09, 460.47 and 144.63 is: 216.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.09 : 460.47 = 144.63 : x
  2. Step 2: Convert to fraction form
    307.09/460.47 = 144.63/x
  3. Step 3: Cross multiply
    307.09x = 460.47 × 144.63
  4. Step 4: Simplify right side
    307.09x = 66,597.78
  5. Step 5: Solve for x
    x = 66,597.78/307.09
  6. Step 6: Final answer
    x = 216.87

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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.