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Finding the Fourth Proportional to 307.25, 460.86 and 133.88

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Solution

The fourth proportional to 307.25, 460.86 and 133.88 is: 200.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.25 : 460.86 = 133.88 : x
  2. Step 2: Convert to fraction form
    307.25/460.86 = 133.88/x
  3. Step 3: Cross multiply
    307.25x = 460.86 × 133.88
  4. Step 4: Simplify right side
    307.25x = 61,699.94
  5. Step 5: Solve for x
    x = 61,699.94/307.25
  6. Step 6: Final answer
    x = 200.81

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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.